# Quiz 9: Hypothesis Tests About the Mean and Proportion

Statistics

Q 1Q 1

The null hypothesis is a claim about a:
A)parameter,where the claim is assumed to be false until it is declared true
B)parameter,where the claim is assumed to be true until it is declared false
C)statistic,where the claim is assumed to be false until it is declared true
D)statistic,where the claim is assumed to be true until it is declared false

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Multiple Choice

B

Q 2Q 2

The alternative hypothesis is a claim about a:
A)parameter,where the claim is assumed to be true until it is declared false
B)parameter,where the claim is assumed to be true if the null hypothesis is declared false
C)statistic,where the claim is assumed to be true if the null hypothesis is declared false
D)statistic,where the claim is assumed to be false until it is declared true

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Multiple Choice

B

Q 3Q 3

In a one-tailed hypothesis test,a critical point is a point that divides the area under the sampling distribution of a:
A)statistic into one rejection region and one nonrejection region
B)parameter into one rejection region and one nonrejection region
C)statistic into one rejection region and two nonrejection regions
D)parameter into two rejection regions and one nonrejection region

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Multiple Choice

A

Q 4Q 4

In a two-tailed hypothesis test,the two critical points are the points that divide the area under the sampling distribution of a:
A)statistic into two rejection regions and one nonrejection region
B)parameter into one rejection region and one nonrejection region
C)statistic into one rejection region and two nonrejection regions
D)parameter into two rejection regions and one nonrejection region

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Multiple Choice

Q 5Q 5

In a hypothesis test,a Type I error occurs when:
A)a false null hypothesis is rejected
B)a true null hypothesis is not rejected
C)a false null hypothesis is not rejected
D)a true null hypothesis is rejected

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Multiple Choice

Q 6Q 6

In a hypothesis test,a Type II error occurs when:
A)a false null hypothesis is rejected
B)a true null hypothesis is not rejected
C)a false null hypothesis is not rejected
D)a true null hypothesis is rejected

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Multiple Choice

Q 7Q 7

In a hypothesis test,the probability of committing a Type I error is called the:
A)confidence level
B)confidence interval
C)significance level
D)beta error

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Multiple Choice

Q 8Q 8

A one-tailed hypothesis test contains:
A)one rejection region and two nonrejection regions
B)two rejection regions and one nonrejection region
C)two rejection regions and two nonrejection regions
D)one rejection region and one nonrejection region

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Multiple Choice

Q 9Q 9

A two-tailed hypothesis test contains:
A)one rejection region and two nonrejection regions
B)two rejection regions and one nonrejection region
C)two rejection regions and two nonrejection regions
D)one rejection region and one nonrejection region

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Multiple Choice

Q 10Q 10

In a left-tailed hypothesis test,the sign in the alternative hypothesis is:
A)not equal to
B)greater than
C)less than
D)less than or equal to

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Multiple Choice

Q 11Q 11

In a right-tailed hypothesis test,the sign in the alternative hypothesis is:
A)not equal to
B)greater than
C)less than
D)less than or equal to

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Multiple Choice

Q 12Q 12

In a two-tailed hypothesis test,the sign in the alternative hypothesis is:
A)not equal to
B)greater than
C)less than
D)less than or equal to

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Multiple Choice

Q 13Q 13

A researcher wants to test if the mean price of houses in an area is greater than $145,000.The alternative hypothesis for this example will be that the population mean is:
A)equal to $145,000
B)not equal to $145,000
C)greater than or equal to $145,000
D)greater than $145,000

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Multiple Choice

Q 14Q 14

A researcher wants to test if the mean price of houses in an area is greater than $175,000.The null hypothesis for this example will be that the population mean is:
A)less than or equal to $175,000
B)not equal to $175,000
C)greater than or equal to $175,000
D)greater than $175,000

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Multiple Choice

Q 15Q 15

A researcher wants to test if the mean annual salary of all lawyers in a city is different than $110,000.The alternative hypothesis for this example will be that the population mean is:
A)equal to $110,000
B)less than to $110,000
C)not equal to $110,000
D)greater than $110,000

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Multiple Choice

Q 16Q 16

A researcher wants to test if the mean annual salary of all lawyers in a city is different than $110,000.The null hypothesis for this example will be that the population mean is:
A)equal to $110,000
B)less than to $110,000
C)not equal to $110,000
D)greater than $110,000

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Multiple Choice

Q 17Q 17

A researcher wants to test if elementary school children spend less than 30 minutes per day on homework.The alternative hypothesis for this example will be that the population mean is:
A)equal to 30 minutes
B)not equal to 30 minutes
C)less than or equal to 30 minutes
D)less than 30 minutes

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Multiple Choice

Q 18Q 18

A researcher wants to test if elementary school children spend less than 30 minutes per day on homework.The null hypothesis for this example will be that the population mean is:
A)greater than or equal to 30 minutes
B)not equal to 30 minutes
C)less than or equal to 30 minutes
D)less than 30 minutes

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Multiple Choice

Q 19Q 19

The p-value is the:
A)largest significance level at which the null hypothesis can be rejected
B)largest significance level at which the alternative hypothesis can be rejected
C)smallest significance level at which the null hypothesis can be rejected
D)smallest significance level at which the alternative hypothesis can be rejected

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Multiple Choice

Q 20Q 20

For a one-tailed test,the p-value is:
A)the area under the curve between the mean and the observed value of the sample statistic
B)twice the area under the curve between the mean and the observed value of the sample statistic
C)the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis
D)twice the area under the curve to the same side of the value of the sample statistic as is specified in the alternative hypothesis

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Multiple Choice

Q 21Q 21

For a two-tailed test,the p-value is:
A)the area under the curve between the mean and the observed value of the sample statistic
B)twice the area under the curve between the mean and the observed value of the sample statistic
C)the area in the tail under the curve on the side which the sample statistic lies
D)twice the area in the tail under the curve on the side which the sample statistic lies

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Multiple Choice

Q 22Q 22

Suppose that the batting average for all major league baseball players after each team completes 100 games through the season is 0.248 and the standard deviation is 0.034.The null hypothesis is that American League infielders average the same as all other major league players.A sample of 46 players taken from the American League reveals a mean batting average of 0.255.What is the value of the test statistic,z (rounded to two decimal places)?

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Short Answer

Q 23Q 23

In a hypothesis test with hypotheses and ,a random sample of 37 elements selected from the population produced a mean of 62.5.Assuming that 5.2 and the population is normally distributed,what is the approximate p-value for this test? (round your answer to four decimal places)

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Short Answer

Q 24Q 24

In a hypothesis test with hypotheses and ,a random sample of 59 elements selected from the population produced a mean of 35.8.Assuming that 9.9,what is the approximate p-value for this test? (round your answer to four decimal places)

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Short Answer

Q 25Q 25

In a hypothesis test with hypotheses and ,a random sample of 131 elements selected from the population produced a mean of 131.6.Assuming that 18.8,what is the approximate p-value for this test? (round your answer to four decimal places)

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Short Answer

Q 26Q 26

In a hypothesis test with hypotheses and ,a random sample of 38 elements selected from the population produced a mean of 74.4.Assuming that 8.9 and the population is normally distributed,what is the approximate p-value for this test? (round your answer to four decimal places)

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Short Answer

Q 27Q 27

In a hypothesis test with hypotheses and ,a random sample of 100 elements selected from the population produced a mean of 137.0.Assuming that 28.1,what is the approximate p-value for this test? (round your answer to four decimal places)

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Short Answer

Q 28Q 28

In a hypothesis test with hypotheses and ,a random sample of 61 elements selected from the population produced a mean of 90.7.Assuming that 29.8,what is the approximate p-value for this test? (round your answer to four decimal places)

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Short Answer

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Short Answer

Q 31Q 31

Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 32Q 32

Use the following to answer questions 56-59:
A researcher wants to test if the mean price of houses in an area is greater than $145,000.A random sample of 35 houses selected from the area produces a mean price of $149,700.Assume that $13,100,and that the test is to be made at the 1% significance level.
-What is the critical value of z?
A)1.88
B)2.17
C)1.96
D)2.58

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Multiple Choice

Q 33Q 33

Use the following to answer questions 56-59:
A researcher wants to test if the mean price of houses in an area is greater than $145,000.A random sample of 35 houses selected from the area produces a mean price of $149,700.Assume that $13,100,and that the test is to be made at the 1% significance level.
-What is the value of the test statistic,z,rounded to three decimal places?

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Short Answer

Q 34Q 34

Use the following to answer questions 56-59:
A researcher wants to test if the mean price of houses in an area is greater than $145,000.A random sample of 35 houses selected from the area produces a mean price of $149,700.Assume that $13,100,and that the test is to be made at the 1% significance level.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 35Q 35

Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 36Q 36

Use the following to answer questions 60-63:
A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000.A random sample of 53 lawyers selected from the city reveals a mean annual salary of $114,000.Assume that $17,000,and that the test is to be made at the 1% significance level.
-What are the critical values of z?
A)-1.96 and 1.96
B)-2.58 and 2.58
C)-2.33 and 2.33
D)-2.05 and 2.05

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Multiple Choice

Q 37Q 37

Use the following to answer questions 60-63:
A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000.A random sample of 53 lawyers selected from the city reveals a mean annual salary of $114,000.Assume that $17,000,and that the test is to be made at the 1% significance level.
-What is the value of the test statistic,z,rounded to three decimal places?

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Short Answer

Q 38Q 38

Use the following to answer questions 60-63:
A researcher wants to test if the mean annual salary of all lawyers in a city is different from $110,000.A random sample of 53 lawyers selected from the city reveals a mean annual salary of $114,000.Assume that $17,000,and that the test is to be made at the 1% significance level.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 39Q 39

Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 40Q 40

Use the following to answer questions 64-67:
A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework.A random sample of 64 children from the school shows that they spend an average of 24.5 minutes per day on homework.Assume that 15.3 minutes,and that the test is to be made at the 1% significance level.
-What is the critical value of z?
A)-2.06
B)-2.33
C)-2.58
D)-1.96

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Multiple Choice

Q 41Q 41

Use the following to answer questions 64-67:
A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework.A random sample of 64 children from the school shows that they spend an average of 24.5 minutes per day on homework.Assume that 15.3 minutes,and that the test is to be made at the 1% significance level.
-What is the value of the test statistic,z,rounded to three decimal places?

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Short Answer

Q 42Q 42

Use the following to answer questions 64-67:
A researcher wants to test if the elementary school children spend less than 30 minutes per day on homework.A random sample of 64 children from the school shows that they spend an average of 24.5 minutes per day on homework.Assume that 15.3 minutes,and that the test is to be made at the 1% significance level.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 43Q 43Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 44Q 44

We use the t distribution to perform a hypothesis test about the population mean when:
A)the population from which the sample is drawn is approximately normal and the population standard deviation is known
B)the population from which the sample is drawn is not approximately normal and the population standard deviation is known
C)the population from which the sample is drawn is approximately normal and the population standard deviation is unknown
D)the population from which the sample is drawn is not approximately normal and the population standard deviation is unknown

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Multiple Choice

Q 45Q 45

Which of the following conditions is not required to use the t distribution to perform a hypothesis test about a population mean?
A)The population from which the sample is drawn is approximately normal
B)The population from which the sample is drawn has a t distribution
C)The population standard deviation is unknown
D)The sample does not have any extreme outliers

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Multiple Choice

Q 46Q 46

Use the following to answer questions 70-73:
In a hypothesis test with hypotheses and ,a random sample of 24 elements selected from the population produced a mean of 58.6 and a standard deviation of 13.4.The test is to be made at the 10% significance level.Assume the population is normally distributed.
-What is the critical value of t?
A)1.318
B)1.28
C)-1.319
D)1.319

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Multiple Choice

Q 47Q 47

Use the following to answer questions 70-73:
In a hypothesis test with hypotheses and ,a random sample of 24 elements selected from the population produced a mean of 58.6 and a standard deviation of 13.4.The test is to be made at the 10% significance level.Assume the population is normally distributed.
-What is the value of the test statistic,t,rounded to three decimal places?

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Short Answer

Q 48Q 48

Use the following to answer questions 70-73:
In a hypothesis test with hypotheses and ,a random sample of 24 elements selected from the population produced a mean of 58.6 and a standard deviation of 13.4.The test is to be made at the 10% significance level.Assume the population is normally distributed.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 49Q 49Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 50Q 50

Use the following to answer questions 74-77:
In a hypothesis test with hypotheses and ,a random sample of 16 elements selected from the population produced a mean of 91.9 and a standard deviation of 4.9.The test is to be made at the 2% significance level.Assume the population is normally distributed.
-What are the critical values of t?
A)-2.33 and 2.33
B)-2.602 and 2.602
C)-2.131 and 2.131
D)-2.583 and 2.583

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Multiple Choice

Q 51Q 51

Use the following to answer questions 74-77:
In a hypothesis test with hypotheses and ,a random sample of 16 elements selected from the population produced a mean of 91.9 and a standard deviation of 4.9.The test is to be made at the 2% significance level.Assume the population is normally distributed.
-What is the value of the test statistic,t,rounded to three decimal places?

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Short Answer

Q 52Q 52

Use the following to answer questions 74-77:
In a hypothesis test with hypotheses and ,a random sample of 16 elements selected from the population produced a mean of 91.9 and a standard deviation of 4.9.The test is to be made at the 2% significance level.Assume the population is normally distributed.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 53Q 53Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 54Q 54

Use the following to answer questions 78-81:
In a hypothesis test with hypotheses and ,a random sample of 20 elements selected from the population produced a mean of 67.8 and a standard deviation of 11.9.The significance level is 5%.Assume the population is normally distributed.
-What is the critical value of t?
A)-1.645
B)-1.725
C)-1.729
D)-2.093

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Multiple Choice

Q 55Q 55

Use the following to answer questions 78-81:
In a hypothesis test with hypotheses and ,a random sample of 20 elements selected from the population produced a mean of 67.8 and a standard deviation of 11.9.The significance level is 5%.Assume the population is normally distributed.
-What is the value of the test statistic,t,rounded to three decimal places?

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Short Answer

Q 56Q 56

Use the following to answer questions 78-81:
In a hypothesis test with hypotheses and ,a random sample of 20 elements selected from the population produced a mean of 67.8 and a standard deviation of 11.9.The significance level is 5%.Assume the population is normally distributed.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 57Q 57Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 58Q 58

Use the following to answer questions 82-86:
A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours.A sample of 25 light bulbs manufactured by this company gave a mean life of 1,097 hours and a standard deviation of 133 hours.A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours.The significance level is 5%.Assume the population is normally distributed.
-What is the critical value of t?
A)-1.704
B)-1.711
C)-2.797
D)-2.787

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Multiple Choice

Q 59Q 59

Use the following to answer questions 82-86:
A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours.A sample of 25 light bulbs manufactured by this company gave a mean life of 1,097 hours and a standard deviation of 133 hours.A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours.The significance level is 5%.Assume the population is normally distributed.
-What is the value of the test statistic,t,rounded to three decimal places?

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Short Answer

Q 60Q 60

Use the following to answer questions 82-86:
A company that manufactures light bulbs claims that its light bulbs last an average of 1,150 hours.A sample of 25 light bulbs manufactured by this company gave a mean life of 1,097 hours and a standard deviation of 133 hours.A consumer group wants to test the hypothesis that the mean life of light bulbs produced by this company is less than 1,150 hours.The significance level is 5%.Assume the population is normally distributed.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 61Q 61Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 62Q 62

Does the data provide evidence to contradict the company's claim about the average lifetime of their light bulbs? (State your answer as "no" or "yes",but don't include the quotation marks.)

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Short Answer

Q 63Q 63

Use the following to answer questions 87-90:
In a hypothesis test with hypotheses and ,a random sample of size 481 produced a sample proportion of 0.4350.The test is to be made at the 5% significance level.
-What is the critical value of z?
A)1.96
B)1.645
C)2.12
D)2.72

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Multiple Choice

Q 64Q 64

Use the following to answer questions 87-90:
In a hypothesis test with hypotheses and ,a random sample of size 481 produced a sample proportion of 0.4350.The test is to be made at the 5% significance level.
-What is the value of the test statistic,z,rounded to three decimal places?

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Short Answer

Q 65Q 65

Use the following to answer questions 87-90:
In a hypothesis test with hypotheses and ,a random sample of size 481 produced a sample proportion of 0.4350.The test is to be made at the 5% significance level.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 66Q 66Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 67Q 67

Use the following to answer questions 91-94:
In a hypothesis test with hypotheses and ,a random sample of size 974 produced a sample proportion of 0.7380.The test is to be made at the 5% significance level.
-What is the critical value of z?
A)-2.05
B)-2.33
C)-1.96
D)-1.65

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Multiple Choice

Q 68Q 68

Use the following to answer questions 91-94:
In a hypothesis test with hypotheses and ,a random sample of size 974 produced a sample proportion of 0.7380.The test is to be made at the 5% significance level.
-What is the value of the test statistic,z,rounded to three decimal places?

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Short Answer

Q 69Q 69

Use the following to answer questions 91-94:
In a hypothesis test with hypotheses and ,a random sample of size 974 produced a sample proportion of 0.7380.The test is to be made at the 5% significance level.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 70Q 70Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 71Q 71

Use the following to answer questions 95-98:
In a hypothesis test with hypotheses and ,a random sample of size 809 produced a sample proportion of 0.2400.The test is to be made at the 5% significance level.
-What are the critical values of z?
A)-2.58 and 2.58
B)-1.645 and 1.645
C)-1.96 and 1.96
D)-1.72 and 1.72

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Multiple Choice

Q 72Q 72

Use the following to answer questions 95-98:
In a hypothesis test with hypotheses and ,a random sample of size 809 produced a sample proportion of 0.2400.The test is to be made at the 5% significance level.
-What is the value of the test statistic,z,rounded to three decimal places?

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Short Answer

Q 73Q 73

Use the following to answer questions 95-98:
In a hypothesis test with hypotheses and ,a random sample of size 809 produced a sample proportion of 0.2400.The test is to be made at the 5% significance level.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 74Q 74Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 75Q 75

Use the following to answer questions 99-102:
In a hypothesis test with hypotheses and ,a random sample of size 1,165 produced a sample proportion of 0.6160.The test is to be made at the 2.5% significance level.
-What is the critical value of z?
A)1.65
B)2.33
C)1.96
D)2.58

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Multiple Choice

Q 76Q 76

Use the following to answer questions 99-102:
In a hypothesis test with hypotheses and ,a random sample of size 1,165 produced a sample proportion of 0.6160.The test is to be made at the 2.5% significance level.
-What is the value of the test statistic,z,rounded to three decimal places?

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Short Answer

Q 77Q 77

Use the following to answer questions 99-102:
In a hypothesis test with hypotheses and ,a random sample of size 1,165 produced a sample proportion of 0.6160.The test is to be made at the 2.5% significance level.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 78Q 78Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Q 79Q 79

Use the following to answer questions 103-106:
In a hypothesis test with hypotheses and ,a random sample of size 530 produced a sample proportion of 0.2755.The test is to be made at the 2% significance level.
-What is the critical value of z?
A)-2.33
B)-2.05
C)-1.645
D)-1.714

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Multiple Choice

Q 80Q 80

Use the following to answer questions 103-106:
In a hypothesis test with hypotheses and ,a random sample of size 530 produced a sample proportion of 0.2755.The test is to be made at the 2% significance level.
-What is the value of the test statistic,z,rounded to three decimal places?

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Short Answer

Q 81Q 81

Use the following to answer questions 103-106:
In a hypothesis test with hypotheses and ,a random sample of size 530 produced a sample proportion of 0.2755.The test is to be made at the 2% significance level.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 82Q 82Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 83Q 83

Which of the following statements describes a Type II error in hypothesis testing?
A)A court declares a defendant guilty,when he is actually innocent.
B)A scientist,trying to support a theory about the number of different species of animals in a particular country,declares the null hypothesis to be "there are 715 different species" when there are actually more than 800.
C)A statistician determines,through hypothesis testing,that the mean number of televisions per household in a certain community is 1.4,when it is actually greater than 1.4.
D)Through hypothesis testing,we find the alternative hypothesis to be true when it is actually false.

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Multiple Choice

Q 84Q 84

The power of a hypothesis test is .96.Which of the following statements is true about this test?
A)The probability of a Type II error is .04.
B)The probability of a Type I error is .04.
C)The probability of a Type II error is .96.
D)The probability of a Type I error is .96.

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Multiple Choice

Q 85Q 85

A study conducted in 2000 found that the mean number of children under 18 per household in a certain community was 1.7.A statistician is trying to determine whether this number has changed in the last 6 years.Which of the following sets of hypotheses is correct for this test?
A)
B)
C)
D)

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Multiple Choice

Q 86Q 86

Use the following to answer questions 110-113:
The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds.A sample of 41 commercials had a mean life of 26.90 seconds and a standard deviation of 7.88 seconds.The significance level is 5%.
-What are the critical values of t?
A)-1.714 and 1.714
B)-1.684 and 1.684
C)-2.010 and 2.010
D)-2.021 and 2.021

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Multiple Choice

Q 87Q 87

Use the following to answer questions 110-113:
The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds.A sample of 41 commercials had a mean life of 26.90 seconds and a standard deviation of 7.88 seconds.The significance level is 5%.
-What is the value of the test statistic,t,rounded to three decimal places?

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Short Answer

Q 88Q 88

Use the following to answer questions 110-113:
The director of a radio broadcast company wants to determine whether the mean length of commercials on his station is equal to 24 seconds.A sample of 41 commercials had a mean life of 26.90 seconds and a standard deviation of 7.88 seconds.The significance level is 5%.
-What is the p-value for this hypothesis test,rounded to four decimal places?

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Short Answer

Q 89Q 89Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 90Q 90Should you reject or fail to reject the null hypothesis in this test? (State your answer as "reject" or "fail to reject",but don't include the quotation marks.)

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Short Answer

Q 91Q 91

Does the data provide evidence to suggest that the goal is not being met? (State your answer as "no" or "yes",but don't include the quotation marks.)

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Short Answer

Q 92Q 92

If the significance level of a hypothesis test is 5% we will reject the null hypothesis is the p-value is
A)greater than 0.95
B)less than 0.025
C)less than 0.05
D)greater than 0.025

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Multiple Choice

Q 93Q 93

When is unknown and the sample size is larger than 76,use:
A)a t test.
B)a test for proportions.
C)a z test.
D)cannot perform a test.

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Multiple Choice