# Quiz 15: Nonparametric Methods: Nominal Level Hypothesis Tests

Statistics

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Q 2Q 2

The claim that "male and female students at Coastal Carolina University prefer different parking lots on campus" is an example of a chi-square null hypothesis.

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Q 4Q 4

There is not one,but a family of chi-square distributions. There is a chi-square distribution for 1 degree of freedom,another for 2 degrees of freedom,another for 3 degrees of freedom,and so on.

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Q 7Q 7

Some important uses of the chi-square include testing for the association of two categorical variables.

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Q 8Q 8

To test the null hypothesis that a set of sample data is normally distributed,we compare an expected normal distribution of the data to an observed distribution of the data.

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Q 11Q 11

For a goodness-of-fit test,the following are possible null and alternate hypotheses:
H

_{0}: Sales are uniformly distributed among the five locations. H_{1}: Sales are not uniformly distributed among the five locations.Free

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Q 12Q 12

The use of the chi-square statistic would be permissible in the following goodness-of-fit test.

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Q 13Q 13

In the goodness-of-fit test,the chi-square distribution is used to determine how well an observed distribution of observations "fits" an expected distribution of observations.

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Q 14Q 14

For a contingency table,the expected frequency for a cell is found by dividing the row total by the grand total.

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Q 16Q 16

In testing the difference between two population proportions,we pool the two sample proportions to estimate the population proportion.

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Q 17Q 17

The pooled estimate of the proportion is found by dividing the total number of samples by the total number of successes.

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Q 18Q 18

If we are testing the difference between two population proportions,it is assumed that the two populations are approximately normal and have equal variances.

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Q 19Q 19

A question has these possible responses: excellent,very good,good,fair,and unsatisfactory. What are the degrees of freedom for a goodness-of-fit test to test the hypothesis that responses are uniformly distributed?
A)0
B)2
C)4
D)5

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Multiple Choice

Q 20Q 20

What is the critical value at the 0.05 level of significance for a goodness-of-fit test if there are six categories?
A)3.841
B)5.991
C)7.815
D)11.070

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Multiple Choice

Q 21Q 21

What is the decision regarding the differences between the observed and expected frequencies if the critical value of the chi-square is 9.488 and the computed chi-square value is 6.079?
A)Fail to reject the null hypothesis; the difference is probably due to sampling error.
B)Reject the null hypothesis.
C)Fail to reject the alternate hypothesis.
D)It is too close; reserve judgment.

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Q 22Q 22

The chi-square statistic ________.
A)is greater than or equal to zero
B)is less than or equal to zero
C)can be any value
D)is equal to zero

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Q 23Q 23

The chi-square distribution is ________.
A)positively skewed
B)negatively skewed
C)normally distributed
D)uniformly distributed

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Q 24Q 24

Which chi-square distribution would be closest to a normal distribution?
A)The distribution with 3 degrees of freedom
B)The distribution with 12 degrees of freedom
C)The distribution with 15 degrees of freedom
D)The distribution with 9 degrees of freedom

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Multiple Choice

Q 25Q 25

A distributor of personal computers has five locations in a city. In the year's first quarter,the sales in units were: For a goodness-of-fit test that sales were the same for all locations,what is the critical value at the 0.01 level of risk?
A)7.779
B)15.033
C)13.277
D)5.412

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Multiple Choice

Q 26Q 26

What is our decision for a goodness-of-fit test with a computed chi-square value of 1.273 and a critical value of 13.388?
A)Do not reject the null hypothesis.
B)Reject the null hypothesis.
C)We are unable to reject or not reject the null hypothesis based on data.
D)We should take a larger sample.

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Q 27Q 27

The following table classifies 100 individuals using two variables,gender and college attended. What is this two-way classification called?
A)Goodness-of-fit test
B)Frequency table
C)ANOVA table
D)Contingency table

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Multiple Choice

Q 28Q 28

What are the degrees of freedom for a contingency table analysis?
A)n - 1
B)Rows − Columns
C)(Rows)× (Columns)
D)(Rows − 1)× (Columns − 1)

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Multiple Choice

Q 29Q 29

For people released from prison,the following table shows their adjustment to civilian life and place of residence. What is the critical value for this contingency table at the 0.01 level of significance?
A)9.488
B)2.070
C)11.345
D)13.277

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Q 30Q 30

The contingency table for a sample of corporate executives classified by educational level and social activity follows. What does the expected frequency for the "Above Average" social activity and "High School" education equal?
A)9.50
B)60.00
C)22.50
D)28.50

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Q 31Q 31

Which of the following assumptions is necessary to apply a goodness-of-fit test?
A)The population must be normally distributed.
B)The data are measured with a nominal or ordinal scale.
C)The population variance must be known.
D)The population mean must be known.

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Multiple Choice

Q 32Q 32

Which of the following statements is correct regarding the chi-square distribution?
A)The distribution is negatively skewed.
B)Chi-square is based on two sets of degrees of freedom,one for the numerator and one for the denominator.
C)The shape of the distribution is based on the degrees of freedom.
D)The variance of the distribution is equal to one.

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Multiple Choice

Q 33Q 33

Which of the following statements is correct regarding the goodness-of-fit test?
A)Variables are based on the nominal measurement scale.
B)Population must be normal.
C)All the expected frequencies must be equal.
D)All the expected frequencies must be unequal.

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Q 34Q 34

A sample of 100 production workers is obtained. The workers are classified by gender (male,female)and by age (under 20,20−29,30−39,and 40 or over). How many degrees of freedom are there?
A)0
B)3
C)6
D)5

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Q 35Q 35

The chi-square distribution becomes more symmetrical as the ________.
A)number of variables increases
B)chi-square value increases
C)degrees of freedom decrease
D)degrees of freedom increase

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Q 36Q 36

For any chi-square goodness-of-fit test,the number of degrees of freedom is found by ________.
A)n - k − 1
B)k − 1
C)n + 1
D)n + k

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Q 37Q 37

The chi-square statistic has ________.
A)one distribution
B)two distributions
C)a family of distributions
D)a uniform distribution

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Q 38Q 38

Three new colors have been proposed for the Jeep Grand Cherokee vehicle. They are silver blue,almond,and willow green. The null hypothesis for a goodness-of-fit test would be ________.
A)willow green is preferred over the other colors
B)there is no preference between the colors
C)any one color is preferred over the other colors
D)it is impossible to determine

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Multiple Choice

Q 39Q 39

For a chi-square test involving a contingency table,suppose the null hypothesis is rejected. We conclude that the two variables are ________.
A)linear
B)curvilinear
C)not related
D)related

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Q 40Q 40

Which of the following can be used to test the hypothesis that two nominal variables are related?
A)A contingency table analysis
B)A goodness-of-fit
C)ANOVA table
D)A regression analysis

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Q 41Q 41

When determining how well an observed set of frequencies fits an expected set of frequencies,what is the test statistic?
A)F-statistic
B)t-statistic
C)X

^{2-}statistic D)z-statisticFree

Multiple Choice

Q 42Q 42

In a goodness-of-fit test,the null hypothesis (no difference between sets of observed and expected frequencies)is rejected when the ________.
A)computed chi-square is less than the critical value
B)difference between the observed and expected frequencies is significantly large
C)difference between the observed and expected frequencies is small
D)difference between the observed and expected frequencies occurs by chance

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Multiple Choice

Q 43Q 43

The computed chi-square value is positive because the difference between the observed and expected frequencies is ________.
A)squared
B)linear
C)uniform
D)always positive

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Multiple Choice

Q 44Q 44

A personnel manager is concerned about absenteeism. She decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are: What kind of frequencies are the numbers 12,9,11,10,9,and 9 called?
A)Acceptance frequencies
B)Critical frequencies
C)Expected frequencies
D)Observed frequencies

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Multiple Choice

Q 45Q 45

A personnel manager is concerned about absenteeism. She decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis is: Absenteeism is distributed evenly throughout the week. Use the 0.01 level of significance. The sample results are:: How many degrees of freedom are there?
A)0
B)3
C)4
D)5

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Multiple Choice

Q 46Q 46

A personnel manager is concerned about absenteeism. She decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are: What is the expected frequency?
A)9
B)10
C)11
D)12

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Multiple Choice

Q 47Q 47

A personnel manager is concerned about absenteeism. She decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are: What is the calculated value of chi-square?
A)1.0
B)0.5
C)0.8
D)8.0

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Multiple Choice

Q 48Q 48

A personnel manager is concerned about absenteeism. She decides to sample employee records to determine if absenteeism is distributed evenly throughout the six-day workweek. The null hypothesis is: Absenteeism is distributed evenly throughout the week. The 0.01 level is to be used. The sample results are: What is the critical value of a chi-square with α = 0.05?
A)11.070
B)12.592
C)13.388
D)15.033

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Multiple Choice

Q 49Q 49

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. The appropriate test to analyze the relationship between social activity and education is ________.
A)a regression analysis
B)an analysis of variance
C)a contingency table analysis
D)a goodness-of-fit test

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Multiple Choice

Q 50Q 50

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. The appropriate test statistic for the analysis is a(n)________.
A)F-statistic
B)t-statistic
C)chi-square statistic
D)z-statistic

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Multiple Choice

Q 51Q 51

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. The null hypothesis for the analysis is ________.
A)there is no relationship between social activity and education
B)the correlation between social activity and education is zero
C)as social activity increases,education increases
D)the mean of social activity equals the mean of education

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Multiple Choice

Q 52Q 52

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. The degrees of freedom for the analysis are ________.
A)1
B)2
C)3
D)4

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Multiple Choice

Q 53Q 53

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. Using 0.05 as the significance level,what is the critical value for the test statistic?
A)9.488
B)5.991
C)7.815
D)3.841

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Multiple Choice

Q 54Q 54

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. What is the value of the chi-square test statistic?
A)100
B)83.67
C)50
D)4.94

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Multiple Choice

Q 55Q 55

A recent study of the relationship between social activity and education for a sample of corporate executives showed the following results. Based on the analysis,what can be concluded?
A)Social activity and education are correlated.
B)Social activity and education are not related.
C)Social activity and education are related.
D)No conclusion is possible.

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Multiple Choice

Q 56Q 56

Recently,students in a marketing research class were interested in the driving behavior of students. Specifically,the marketing students were interested in finding out if exceeding the speed limit was related to gender. They collected the following responses from 100 randomly selected students: The null hypothesis for the analysis is ________.
A)there is no relationship between gender and speeding
B)the correlation between driving behavior and gender is zero
C)as driving behavior increases,gender increases
D)the mean of driving behavior equals the mean of gender

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Multiple Choice

Q 57Q 57

Recently,students in a marketing research class were interested in the driving behavior of students. Specifically,the marketing students were interested in finding out if exceeding the speed limit was related to social activity. They collected the following responses from 100 randomly selected students: The degrees of freedom for the analysis are ________.
A)1
B)2
C)3
D)4

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Multiple Choice

Q 58Q 58

Recently,students in a marketing research class were interested in the driving behavior of students. Specifically,the marketing students were interested in finding out if exceeding the speed limit was related to social activity. They collected the following responses from 100 randomly selected students: Using 0.05 as the significance level,what is the critical value for the test statistic?
A)9.488
B)5.991
C)7.815
D)3.841

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Multiple Choice

Q 59Q 59

Recently,students in a marketing research class were interested in the driving behavior of students. Specifically,the marketing students were interested in finding out if exceeding the speed limit was related to social activity. They collected the following responses from 100 randomly selected students: What is the value of the test statistic?
A)83.67
B)9.890
C)50
D)4.94

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Multiple Choice

Q 60Q 60

Recently,students in a marketing research class were interested in the driving behavior of students. Specifically,the marketing students were interested in finding out if exceeding the speed limit was related to social activity. They collected the following responses from 100 randomly selected students: Based on the analysis,what can be concluded?
A)Driving behavior and gender are correlated.
B)Driving behavior and gender are not related.
C)Driving behavior and gender are related.
D)No conclusion is possible.

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Multiple Choice

Q 61Q 61

A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. How many degrees of freedom are there?
A)2
B)3
C)4
D)5

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Multiple Choice

Q 62Q 62

A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. What is the critical value at the 5% level of significance?
A)7.779
B)9.488
C)9.236
D)11.070

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Multiple Choice

Q 63Q 63

A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. What is the critical value at the 10% level of significance?
A)7.779
B)9.236
C)9.488
D)11.070

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Multiple Choice

Q 64Q 64

A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. What is the expected frequency for people who are undecided about the project and have property front footage between 45 and 120 feet?
A)2.2
B)3.9
C)5.0
D)7.7

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Multiple Choice

Q 65Q 65

A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. What is the expected frequency for people who are in favor of the project and have less than 45 feet of property foot frontage?
A)10
B)12
C)35
D)50

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Multiple Choice

Q 66Q 66

A survey of property owners' opinions about a street-widening project was taken to determine if owners' opinions were related to the distance between their home and the street. A randomly selected sample of 100 property owners was contacted and the results are shown next. What is the expected frequency for people against the project and who have over 120 feet of property foot frontage?
A)1.1
B)3.9
C)5.0
D)5.5

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Multiple Choice

Q 67Q 67

To test if an observed frequency distribution with five classes is normally distributed,we need to find ________.
A)the t-statistic
B)the expected,normally distributed class frequencies
C)the class marks
D)the class relative frequencies

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Multiple Choice

Q 68Q 68

To test if an observed frequency distribution with five classes is normally distributed,we need to ________.
A)compute an F-statistic
B)calculate a t-statistic
C)convert the class marks to standard normal z-statistics
D)convert the class limits to standard normal z-statistics

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Multiple Choice

Q 69Q 69

To test if an observed frequency distribution with five classes is normally distributed,we compute probabilities for each class based on a(n)________.
A)standard normal distribution
B)chi-square distribution
C)student's t-distribution
D)F-distribution

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Multiple Choice

Q 70Q 70

A frequency distribution has a mean of 100 and a standard deviation of 20. The class limits for one class are 50 up to 60. What are the standard normal z-statistics for the class limits?
A)−20 and 20
B)−2.5 and −2.0
C)2.0 and 2.5
D)−50 and −40

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Multiple Choice

Q 71Q 71

A frequency distribution has a mean of 100 and a standard deviation of 20. The class limits for one class are 50 up to 60. Based on the normal distribution,what is the probability that an observation would be in this class?
A)0.4938
B)0.4772
C)0.0166
D)−0.0166

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Multiple Choice

Q 72Q 72

A frequency distribution has a mean of 200 and a standard deviation of 20. The class limits for one class are 220 up to 240. What are the standard normal z-statistics for the class limits?
A)−20 and 20
B)−2.0 and −1.0
C)200 and 220
D)1.0 and 2.0

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Multiple Choice

Q 73Q 73

A frequency distribution has a mean of 200 and a standard deviation of 20. The class limits for one class are 220 up to 240. Based on the normal distribution,what is the probability that an observation would be in this class?
A)0.1359
B)0.3413
C)0.4772
D)0.8185

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Multiple Choice

Q 74Q 74

If the decision is to reject the null hypothesis of no difference between two population proportions at the 5% level of significance,what are the alternative hypothesis and rejection region?
A)H

_{1}: π_{1}≠ π_{2}; z > +1.645 and z < −1.645 B)H_{1}: π_{1}≠ π_{2}; z > +1.960 and z < −1.960 C)H_{1}: π_{1}> π_{2}; z < −1.645 D)H_{1}: π_{1}> π_{2}; z < −1.960Free

Multiple Choice

Q 75Q 75

In a market test of a new chocolate raspberry coffee,a poll of 400 people from Dobbs Ferry showed 250 preferred the new coffee. In Irvington,170 out of 350 people preferred the new coffee. To test the hypothesis that there is no difference in preferences between the two villages,what is the null hypothesis?
A)H

_{0}: π_{1}< π_{2}B)H_{0}: π_{1}> π_{2}C)H_{0}: π_{1}= π_{2}D)H_{0}: π_{1}≠ π_{2}Free

Multiple Choice

Q 76Q 76

In a market test of a new chocolate raspberry coffee,a poll of 400 people (sample 1)from Dobbs Ferry showed 250 preferred the new coffee. In Irvington,170 out of 350 people (sample 2)preferred the new coffee. To test the hypothesis that a higher proportion of people in Dobbs Ferry prefer the new coffee,what is the alternate hypothesis?
A)H

_{1}: π_{1}< π_{2}B)H_{1}: π_{1}> π_{2}C)H_{1}: π_{1}= π_{2}D)H_{1}: π_{1}≠ π_{2}Free

Multiple Choice

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Q 78Q 78

Suppose we test H

_{0}: π_{1}= π_{2}at the 0.05 level of significance. If the z-test statistic is −1.07,what is our decision? A)Reject the null hypothesis. B)Do not reject the null hypothesis. C)Take a larger sample. D)Reserve judgment.Free

Multiple Choice

Q 79Q 79

A sample of 250 adults tried the new multigrain cereal Wow! A total of 187 rated it as excellent. In a sample of 100 children,66 rated it as excellent. Using the 0.1 significance level,the researcher wishes to show that adults like the cereal better than children. Which of the following is the alternate hypothesis?
A)H

_{1}: πA = πC B)H_{1}: πA < πC C)H_{1}: πA > πC D)H_{1}: πA ≠ πCFree

Multiple Choice

Q 80Q 80

A sample of 250 adults tried the new multigrain cereal Wow! A total of 187 rated it as excellent. In a sample of 100 children,66 rated it as excellent. Using the 0.1 significance level,the researcher wishes to show that adults like the cereal better than children. What is the pooled proportion?
A)0.723
B)1.408
C)0.494
D)0.807

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Multiple Choice

Q 81Q 81

A sample of 250 adults tried the new multigrain cereal Wow! A total of 187 rated it as excellent. In a sample of 100 children,66 rated it as excellent. Using the 0.1 significance level,the researcher wishes to show that adults like the cereal better than children. What test statistic should we use to compare the ratings of adults and children?
A)A z-statistic
B)A right one-tailed test statistic
C)A left one-tailed test statistic
D)A t-statistic

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Multiple Choice

Q 82Q 82

To test the hypothesis that 55% of those families who plan to purchase a vacation residence in Florida want a condominium,the null hypothesis is π = 0.55 and the alternate is π ≠ 0.55. A random sample of 400 families who planned to buy a vacation residence revealed that 228 families want a condominium. What decision should be made regarding the null hypothesis using the 0.01 level of significance?
A)Do not reject it.
B)Reject it.
C)Cannot accept it or reject it based on the information given.
D)Purchase a condominium.

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Multiple Choice

Q 83Q 83

The number of trials and the population proportion are respectively represented by what symbols?
A)p and n
B)α and β
C)z and t
D)n and π

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Multiple Choice

Q 84Q 84

An electronics retailer believes that,at most,40% of their cell phone inventory was sold during November. The retailer surveyed 80 dealers and found that 38% of the inventory was sold. Since 38% is less than 40%,is this difference of 2 percentage points sampling error or a significant difference? Test at the 0.05 level. The computed z = −0.37.
A)The 2% is a significant difference.
B)We cannot determine if the 2% is a significant difference.
C)There is not enough information to reach a conclusion.
D)None of the other answers apply.

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Multiple Choice

Q 85Q 85

If 20 out of 50 students sampled live in a college dormitory,what is the estimated proportion of students at the university living in a dormitory?
A)0.20
B)0.40
C)0.50
D)0.60

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Multiple Choice

Q 86Q 86

The claim that "40% of those persons who retired from an industrial job before the age of 60 would return to work if a suitable job was available" is to be investigated at the 0.02 significance level. If 74 out of the 200 workers sampled said they would return to work,what is our decision?
A)Do not reject the null hypothesis because −0.866 lies in the region between +2.326 and −2.326.
B)Do not reject the null hypothesis because −0.866 lies in the region between +2.576 and −2.576.
C)Reject the null hypothesis because 37% is less than 40%.
D)Do not reject the null hypothesis because 37% lies in the area between 0% and 40%.

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Multiple Choice

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Multiple Choice

Q 88Q 88

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the null hypothesis?
A)H

_{0}: π = 0.36 B)H_{0}: π = 0.41 C)H_{0}: π ≠ 0.36 D)H_{0}: µ = 0.41Free

Multiple Choice

Q 89Q 89

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the alternate hypothesis?
A)H

_{1}: π = 0.36 B)H_{1}: π = 0.41 C)H_{1}: π ≠ 0.41 D)H_{1}: µ ≠ 0.41Free

Multiple Choice

Q 90Q 90

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the sample proportion?
A)0.41
B)0.36%
C)0.41%
D)0.36

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Multiple Choice

Q 91Q 91

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the critical value if α = 0.01?
A)+2.576
B)+2.326
C)±2.576
D)−2.326

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Multiple Choice

Q 92Q 92

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the z-test statistic?
A)1.02
B)1.22
C)−1.02
D)−1.22

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Multiple Choice

Q 93Q 93

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the critical value if the level of significance is 0.10?
A)−1.282
B)±1.645
C)−2.576
D)+2.576

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Multiple Choice

Q 94Q 94

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is your decision if α = 0.01?
A)Fail to reject the null hypothesis.
B)Reject the null hypothesis and conclude the newscast does not reach 41% of the audience.
C)Fail to reject the alternate and conclude the newscast does not reach 41% of the audience.
D)Reject the alternate and conclude the newscast reaches about 41% of the audience.

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Multiple Choice

Q 95Q 95

It is claimed that in a bushel of peaches,less than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the null hypothesis?
A)H

_{0}: π ≠ 0.10 B)H_{0}: π ≥ 0.10 C)H_{0}: π ≤ 0.10 D)H_{0}: π < 0.10Free

Multiple Choice

Q 96Q 96

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the alternate hypothesis for a one-sided test?
A)H

_{1}: π ≥ 0.10 B)H_{1}: π > 0.10 C)H_{1}: π ≤ 0.10 D)H_{1}: π < 0.10Free

Multiple Choice

Q 97Q 97

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the critical value for α = 0.025?
A)+1.960
B)±1.645
C)−1.960
D)−1.645

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Multiple Choice

Q 98Q 98

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the sample proportion?
A)0.10
B)0.125
C)40
D)0.40

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Multiple Choice

Q 99Q 99

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the z-test statistic?
A)+0.125
B)+0.278
C)−1.645
D)+1.667

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Multiple Choice

Q 100Q 100

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. If α = 0.025,what will be the decision?
A)Accept the null.
B)Reject the null and conclude the defects are not greater than 10%.
C)Reject the null and conclude the defects are greater than 10%.
D)Fail to reject the null.

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Multiple Choice

Q 101Q 101

Some important uses of the chi-square distribution include ________.
A)testing for goodness-of-fit
B)determining whether a variable appears to follow some specified distribution
C)testing for the association of two categorical variables
D)all of these answers are true.

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Q 102Q 102

The degrees of freedom for a contingency table with six rows and three columns is ________.
A)18
B)9
C)10
D)3

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Q 103Q 103

Students were sampled to determine their support for the legalization of gambling in their community. A sample of 150 students were asked whether or not they supported legalization of gambling,and the following results were obtained. The value of the chi-square test statistic equals ________.
A)−3
B)−2
C)+3
D)4

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Q 104Q 104

Students were sampled to determine their support for the legalization of gambling in their community. A sample of 150 students were asked whether or not they supported legalization of gambling,and the following results were obtained. The number of degrees of freedom associated with this scenario is ________.
A)149
B)2
C)150
D)3

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Multiple Choice

Q 105Q 105

In the past five years,45% of the tourists who visited Orlando,Florida,went to see local attractions. The city council recently spent a significant amount of money on advertising and promoting visits to area attractions. They are interested in knowing whether the advertising campaign was effective-whether it increased the proportion of tourists visiting local attractions. The proper set of hypotheses is ________.
A)H

_{0}: p > 0.45 H_{1}: p ≤ 0.45 B)H_{0}: p < 0.45 H_{1}: p ≥ 0.45 C)H_{0}: p ≥ 0.45 H_{1}: p < 0.45 D)H_{0}: p ≤ 0.45 H_{1}: p > 0.45Free

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Q 106Q 106

Based on the Nielsen ratings,the local CBS affiliate claims its 11 p.m. newscast reaches 41% of the viewing audience in the area. In a survey of 100 viewers,36% indicated that they watch the late evening news on this local CBS station. What is the p-value?
A)0.3461
B)0.1539
C)0.3078
D)0.0100

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Q 107Q 107

It is claimed that in a bushel of peaches,fewer than 10% are defective. A sample of 400 peaches is examined and 50 are found to be defective. What is the p-value?
A)0.0250
B)0.4525
C)0.9525
D)0.0500

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