# Quiz 7: Survey Sampling and Inference

Statistics

Q 1Q 1

The collection of the ages of all the U.S. first ladies when they married is a .
A)Population
B)Statistic
C)Sample
D)Parameter

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Multiple Choice

A

Q 2Q 2

If it is being used to make inferences about a population, a good statistic (or estimator)should
A)Show correlation.
B)Be accurate and precise.
C)Always equal the population parameter.
D)None of these.

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Multiple Choice

B

Q 3Q 3

Suppose that the age of all the U.S. first ladies when they married was recorded. The mean age of U.S. first ladies when they married would be a .
A)Sample
B)Population
C)Statistic
D)Parameter

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Multiple Choice

D

Q 4Q 4

The mean age of all the U. S. vice presidents when they took office would be a .
A)Statistic
B)Sample
C)Population
D)Parameter

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Multiple Choice

Q 5Q 5

Which of the following statements is true about the confidence interval for a population proportion?
A)The confidence interval for a proportion will always contain the true population proportion.
B)It is equal to the sample proportion plus or minus a calculated amount called the margin of error.
C)It is equal to the population proportion plus or minus a calculated amount called the standard error.
D)The confidence interval for a proportion does not need a specified confidence level.

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Multiple Choice

Q 6Q 6

Use the following information to answer the question. A pollotarian is a person who eats poultry but no red meat. A wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be held are pollotarian. Treat the 300 guests expected at the wedding as a simple random sample from the local population of about 200,000.
-Suppose the wedding planner assumes that 5% of the guests will be pollotarian so she orders 15 pollotarian meals. What is the approximate probability that more than 5% of the guests are pollotarian and therefore she will not have enough pollotarian meals? Round to the nearest thousandth.
A)0)421
B)0)079
C)0)489
D)None of these

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Multiple Choice

Q 7Q 7

There are four colors in a bag containing 600 plastic chips. It is known that 34% of the chips are yellow. On average, how many chips from a random sample of 30 (with replacement)would be expected to be yellow? Round to the nearest whole chip.
A)About 5
B)Not enough information to determine expected value.
C)About 10
D)About 16

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Multiple Choice

Q 8Q 8

A random sample of 830 adult television viewers showed that 52% planned to watch sporting event X. The margin of error is 3 percentage points with a 95% confidence. Does the confidence interval support the claim that the majority of adult television viewers plan to watch sporting event X? Why?
A)No; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 49% and 55%. The true proportion could be less than 50%.
B)Yes; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 49% and 55%. Since the confidence interval is mostly above 50% it is likely that the true proportion is greater than 50%.
C)No; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 50.5% and 53.5%. The lower limit of the confidence interval is just too close to 50% to say for sure.
D)Yes; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 50.5% and 53.5%. This is strong evidence that the true proportion is greater than 50%

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Multiple Choice

Q 9Q 9

Which of the following statements is not true about a sampling distribution?
A)It is the probability distribution of a statistic.
B)It gives characteristics of the estimator, such as bias and precision.
C)It is used for making inferences about a sample.
D)It gives probabilities for a statistic.

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Multiple Choice

Q 10Q 10

Complete the statement by filling in the blank. When constructing a confidence interval, if the level of confidence increases the margin of error will and the confidence interval will be . A larger sample size will improve the accuracy of the confidence interval, therefore margin of error will and the confidence interval will be
.
A)Decrease, narrower. Increase, wider.
B)Increase, narrower. Decrease, wider.
C)Decrease, wider. Increase, narrower
D)Increase, wider. Decrease, narrower.

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Multiple Choice

Q 11Q 11

Use the following information to answer the question. A pollotarian is a person who eats poultry but no red meat. A wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be held are pollotarian. Treat the 300 guests expected at the wedding as a simple random sample from the local population of about 200,000.
-On average, what proportion of the guests would be expected to be pollotarian, give or take how many? Round to the nearest whole person.
A)20 people, give or take 5 people
B)15 people, give or take 4 people
C)11 people, give or take 3 people
D)There is not enough information given to calculate expected value.

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Multiple Choice

Q 12Q 12

Use the following information to answer the question. A pescatarian is a person who eats fish and seafood but no other animal. An event planner does some research and finds that approximately 2.75% of the people in the area where a large event is to be held are pescatarian. Treat the 250 guests expected at the event as a simple random sample from the local population of about 150,000.
-On average, what proportion of the guests would be expected to be pescatarian, give or take how many? Round to the nearest whole person.
A)There is not enough information given to calculate expected value.
B)8 people, give or take 4 people
C)7 people, give or take 3 people
D)6 people, give or take 5 people

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Multiple Choice

Q 13Q 13

Suppose that in a recent poll of 900 adults between the ages of 35 and 45, 22% surveyed said they have thought about participating in an extreme sport such as bungee jumping. Find the 95% confidence interval for the proportion of adults ages 35 to 45 who have thought about participating in an extreme sport such as bungee jumping then choose the correct interpretation. (Round to the nearest tenth of a percent)
A)The population proportion of adults ages 35 to 45 who have thought about participating in an extreme sport such as bungee jumping is between 19.3% and 24.7%, with a confidence level of 95%.
B)There is a 95% chance that the population of adults ages 35 to 45 who have thought about participating in an extreme sport such as bungee jumping is between 13.9% and 30.1%.
C)The population proportion of adults ages 35 to 45 who have thought about participating in an extreme sport such as bungee jumping is between 13.9% and 30.1%, with a confidence level of 95%.
D)There is a 95% chance that the population of adults ages 35 to 45 who have thought about participating in an extreme sport such as bungee jumping is between 19.3% and 24.7%.

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Multiple Choice

Q 14Q 14

Frances is interested in whether students at his college would like to see a portion of the campus preserved as green space. Using student numbers, he randomly contacts 300 students and receives a response from 75. Of those who responded, 64% favored the preservation of green space on campus. This scenario is describing what type of sampling bias?
A)Survey bias
B)Nonresponse bias
C)Measurement bias
D)Voluntary response bias

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Multiple Choice

Q 15Q 15

According to a snack cracker manufacturer, a batch of butter crackers has a defect rate of 6%. Suppose a quality inspector randomly inspects 400 crackers. Complete the following statement: The quality inspector should expect defective crackers, give or take crackers.
A)45; 6
B)48; 5
C)25; 12
D)24; 5

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Multiple Choice

Q 16Q 16

Complete the statement by filling in the blank. When constructing a confidence interval, if the level of confidence increases the margin of error will and the confidence interval will be . A larger sample size will improve the accuracy of the confidence interval, therefore margin of error will and the confidence interval will be
.
A)Decrease, narrower. Increase, wider.
B)Decrease, wider. Increase, narrower.
C)Increase, wider. Decrease, narrower.
D)Increase, narrower. Decrease, wider.

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Multiple Choice

Q 17Q 17

Suppose that New Mexico lawmakers survey 160 randomly selected registered voters to see if they favor stricter laws regarding motorcycle helmet use for riders over the age of 17. The lawmakers believe the population proportion in favor of changing the law is 6% (based on historical data and previous votes). Which of the following conditions for the Central Limit theorem are not met?
A)Relative to the population, the sample is not large enough.
B)The population proportion is too small and will not have enough expected successes.
C)The population proportion is too small and will not have enough expected failures.
D)None of these, all the conditions of the CLT are met.

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Multiple Choice

Q 18Q 18

Use the following information to answer the question. In a recent poll of 1100 randomly selected home delivery truck drivers, 26% said they had encountered an aggressive dog on the job at least once.
-Report the 95% confidence interval for the proportion of all home delivery truck drivers who have encountered an aggressive dog on the job at least once. (Round final calculations to the nearest tenth of a percent)
A)(23.4%, 28.6%)
B)(20.7%, 31.3%)
C)(24.7 %, 27.3%)
D)None of these

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Multiple Choice

Q 19Q 19

A polling agency wants to determine the size of a random sample needed to estimate the proportion of homeowners who have an electronic home security system. The estimate should have margin of error no more than 4 percentage points at a 95% level of confidence. Choose the most conservative answer that is closest to your calculated number, rounding to the nearest whole person.
A)They should poll at least 1100 people.
B)They should poll at least 600 people.
C)They should poll at least 1000 people.
D)They should poll at least 500 people.

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Multiple Choice

Q 20Q 20

Which of the following statements is true about the confidence interval for a population proportion?
A)The confidence interval for a proportion will always contain the true population proportion.
B)The confidence interval for a proportion does not need a specified confidence level.
C)It is equal to the sample proportion plus or minus a calculated amount called the margin of error.
D)It is equal to the population proportion plus or minus a calculated amount called the standard error.

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Multiple Choice

Q 21Q 21

Which of the following statements is not true about a sampling distribution?
A)It is used for making inferences about a population.
B)It tells us how often we can expect to see particular values of our estimator.
C)It is the probability distribution of a statistic.
D)All these statements are true.

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Multiple Choice

Q 22Q 22

Researchers are interested in learning more about the age of women when they marry for the first time so they survey 500 married or divorced women and ask them how old they were when they first married. The collection of the ages of the 500 women when they first married is a .
A)Parameter
B)Sample
C)Statistic
D)Population

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Multiple Choice

Q 23Q 23

Use the following information to answer the question. In a recent poll of 1200 randomly selected adult office workers, 32% said they had worn a Halloween costume to the office at least once.
-What is the standard error for the estimate of the proportion of all American adult office workers that have worn a Halloween costume to the office? Round to the nearest ten- thousandth.
A)0)0135
B)0)4672
C)0)0143
D)0)0002

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Multiple Choice

Q 24Q 24

Use the following information to answer the question. A pescatarian is a person who eats fish and seafood but no other animal. An event planner does some research and finds that approximately 2.75% of the people in the area where a large event is to be held are pescatarian. Treat the 250 guests expected at the event as a simple random sample from the local population of about 150,000.
-Suppose the event planner assumes that 4% of the guests will be pescatarian so he orders 10 pescatarian meals. What is the approximate probability that more than 4% of the guests are pescatarian and that he will not have enough pescatarian meals? Round to the nearest thousandth.
A)0)113
B)0)470
C)0)387
D)None of these

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Multiple Choice

Q 25Q 25

Use the following information to answer the question. In a recent poll of 1100 randomly selected home delivery truck drivers, 26% said they had encountered an aggressive dog on the job at least once.
-What is the standard error for the estimate of the proportion of all home delivery truck drivers who have encountered an aggressive dog on the job at least once? Round to the nearest ten- thousandth.
A)0)1322
B)0)0002
C)0)0132
D)0)0141

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Multiple Choice

Q 26Q 26

According to a snack cracker manufacturer, a batch of butter crackers has a defect rate of 8%. Suppose a quality inspector randomly inspects 500 crackers. Complete the following statement: The quality inspector should expect defective crackers, give or take crackers.
A)40; 16
B)40; 6
C)60; 16
D)60; 12

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Multiple Choice

Q 27Q 27

There are four colors in a bag containing 500 plastic chips. It is known that 28% of the chips are green. On average, how many chips from a random sample of 50 (with replacement)would be expected to be green?
A)28
B)14
C)18
D)Not enough information to determine expected value.

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Multiple Choice

Q 28Q 28

Suppose that in a recent poll of 1200 adults between the ages of 35 and 45, 38% surveyed said they have thought about getting elective plastic surgery. Find the 95% confidence interval for the proportion of adults ages 35 to 45 who have thought about getting elective plastic surgery then choose the correct interpretation. (Round to the nearest tenth of a percent)
A)The population proportion of adults ages 35 to 45 who have thought about getting elective plastic surgery is between 35.2% and 40.7%, with a confidence level of 95%.
B)There is a 95% chance that the population of adults ages 35 to 45 who have thought about getting elective plastic surgery is between 35.2% and 40.7%.
C)There is a 95% chance that the population of adults ages 35 to 45 who have thought about getting elective plastic surgery is between 28.5% and 47.5%.
D)The population proportion of adults ages 35 to 45 who have thought about getting elective plastic surgery is between 28.5% and 47.5%, with a confidence level of 95%.

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Multiple Choice

Q 29Q 29

Researchers are interested in learning more about the age of men when they marry for the first time so they survey 500 married or divorced men and ask them how old they were when they first married. The mean of age of the 500 men when they married for the first time would be a .
A)Population
B)Parameter
C)Sample
D)Statistic

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Multiple Choice

Q 30Q 30

A random sample of 950 adult television viewers showed that 48% planned to watch sporting event X. The margin of error is 4 percentage points with a 95% confidence. Does the confidence interval support the claim that the majority of adult television viewers plan to watch sporting event X? Why?
A)Yes; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 44% and 52%.
B)No; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 46% and 50%.
C)No; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 44% and 52%.
D)Yes; the confidence interval means that we are 95% confident that the population proportion of adult television viewers who plan to watch sporting event X is between 46% and 50%.

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Multiple Choice

Q 31Q 31

Suppose that the age of all the U. S. vice presidents when they took office was recorded. The collection of the ages of all the U. S. vice presidents when they took office is a .
A)Statistic
B)Sample
C)Population
D)Parameter

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Multiple Choice

Q 32Q 32

Suppose that Illinois lawmakers survey 130 randomly selected registered voters to see if they favor charging a deposit on aluminum cans to encourage recycling. The lawmakers believe the population proportion in favor of changing the law is 93% (based on historical data and previous votes). Which of the following conditions for the Central Limit theorem are not met?
A)Relative to the population, the sample is not large enough.
B)The population proportion is too small and will not have enough expected successes.
C)The population proportion is too small and will not have enough expected failures.
D)None of these, all the conditions of the CLT are met.

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Multiple Choice

Q 33Q 33

Use the following information to answer the question. A pescatarian is a person who eats fish and seafood but no other animal. An event planner does some research and finds that approximately 2.75% of the people in the area where a large event is to be held are pescatarian. Treat the 250 guests expected at the event as a simple random sample from the local population of about 150,000.
-Suppose the event planner assumes that only 1.6% of the guests will be pescatarian so he orders 4 pescatarian meals. What is the approximate probability that he will have too many pescatarian meals? Round to the nearest thousandth.
A)0)387
B)0)113
C)0)613
D)0)245

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Multiple Choice

Q 34Q 34

Max is interested in whether there is community interest in having local musicians perform music in the park in the evenings during the summer. Max goes to the park for several evenings in a row and asks people visiting the park whether they would like to hear music in the evening. Out of the 200 people he surveys, 58% respond favorably. This scenario is describing what type of sampling bias?
A)Survey bias
B)Voluntary response bias
C)Nonresponse bias
D)Measurement bias

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Multiple Choice

Q 35Q 35

If it is being used to make inferences about a population, a good statistic (or estimator)should
A)Show correlation.
B)Be derived from population data.
C)Be accurate and precise.
D)None of these.

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Multiple Choice

Q 36Q 36

A polling agency wants to determine the size of a random sample needed to estimate the proportion of homeowners who keep a hand gun in their home for security. The estimate should have margin of error no more than 2.5 percentage points at a 95% level of confidence. Choose the most conservative answer that is closest to your calculated number, rounding to the nearest whole person.
A)They should poll at least 1600 people.
B)They should poll at least 1200 people.
C)They should poll at least 400 people.
D)They should poll at least 1000 people.

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Multiple Choice

Q 37Q 37

Use the following information to answer the question. In a recent poll of 1100 randomly selected home delivery truck drivers, 26% said they had encountered an aggressive dog on the job at least once.
-What is the margin of error, using a 95% confidence level, for estimating the true population proportion of home delivery truck drivers who have encountered an aggressive dog on the job at least once? (Round to the nearest thousandth)
A)0)013
B)0)053
C)0)026
D)0)004

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Multiple Choice

Q 38Q 38

Use the following information to answer the question. In a recent poll of 1200 randomly selected adult office workers, 32% said they had worn a Halloween costume to the office at least once.
-What is the margin of error, using a 95% confidence level, for estimating the true population proportion of adult office workers who have worn a Halloween costume to the office at least once? (Round to the nearest thousandth)
A)0)026
B)0)013
C)0)158
D)0)053

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Multiple Choice

Q 39Q 39

Report the 95% confidence interval for the proportion of all adult office workers who have worn a Halloween costume to the office at least once. (Round final calculations to the nearest tenth of a percent)
A)(30.7%, 33.4%)
B)(29.4%, 34.6%)
C)(28.0%, 36.1%)
D)None of these

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Multiple Choice

Q 40Q 40

Use the following information to answer the question. A pollotarian is a person who eats poultry but no red meat. A wedding planner does some research and finds that approximately 3.5% of the people in the area where a large wedding is to be held are pollotarian. Treat the 300 guests expected at the wedding as a simple random sample from the local population of about 200,000.
-Suppose the wedding planner assumes that only 3% of the guests will be pollotarian so she orders 9 pollotarian meals. What is the approximate probability that she will have too many pollotarian meals? Round to the nearest thousandth.
A)0)319
B)0)251
C)0)681
D)0)477

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Multiple Choice

Q 41Q 41

Use the following information to answer the question. An event planner does some research and finds that in the area where a large children's event is to be held, approximately 1.75% of the children are lactose intolerant. Treat the 250 children expected at the event as a simple random sample from the local population of about 100,000 children.
-Suppose the event planner assumes that 2.8% of the children attending the event will be lactose intolerant so he orders 7 lactose- free meals. What is the approximate probability that more than 2.8% of the children attending the event are lactose intolerant and that he will not have enough lactose- free meals? Round to the nearest thousandth.

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Essay

Q 42Q 42

Use the following information to answer the question. In a recent poll of 900 randomly selected adults, 37% reported that they could not swim 24 yards (the length of a typical gymnasium lap pool).
-What is the standard error for the estimate of the proportion of all adults that self- report that they cannot swim 24 yards? Round to the nearest ten- thousandth.

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Essay

Q 43Q 43

Use the following information to answer the question. A marble manufacturer advertises that its bags of marbles will contain 25% "milky- white" marbles. Suppose that a bag containing 80 marbles is inspected.
-What value should we expect for our sampling percentage of milky- white marbles? How many marbles would this be? Round to the nearest whole marble.

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Essay

Q 45Q 45

Can the way a survey question is asked affect the sample results? Explain why such a sample is or is not reflective of the population.

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Essay

Q 46Q 46

A polling agency wants to determine the size of the random sample needed to estimate the proportion of voters who favor proposal X. The estimate should have a margin of error no more than 4.5 percentage points at a 95% level of confidence. Determine the minimum size of the sample, rounding to the nearest whole person.

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Essay

Q 47Q 47

Suppose that you and a friend read the following statement in a news report, "A recent poll found that 54% of voters, give or take 3%, plan to vote for candidate X in the next election (with a confidence level of 95%)." Your friend then makes the statement, "Hey, look, there's a 95% chance that somewhere between 51% and 57% of voters plan to vote for candidate X!" How would you explain to your friend why his statement is incorrect, be sure to provide your friend with the correct interpretation of the confidence interval.

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Essay

Q 48Q 48

Use the following information to answer the question. In a recent poll of 900 randomly selected adults, 37% reported that they could not swim 24 yards (the length of a typical gymnasium lap pool).
-What is the margin of error, using a 95% confidence level, for estimating the true proportion of adults who self- report that they cannot swim 24 yards? Round to the nearest thousandth.

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Essay

Q 49Q 49

A survey of 800 randomly selected senior citizens showed that 55% said they planned to watch an upcoming political debate on television. The margin of error for the 95% confidence interval is 3.5 percentage points. Does the confidence interval support the claim that the majority of senior citizens plan to watch the upcoming political debate on television? Explain why or why not.

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Essay

Q 50Q 50

Use the following information to answer the question. A marble manufacturer advertises that its bags of marbles will contain 25% "milky- white" marbles. Suppose that a bag containing 80 marbles is inspected.
-What is the standard error? Round to the nearest tenth of a percent.

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Essay

Q 51Q 51

Suppose that Michigan lawmakers survey 500 randomly selected registered voters to see if they favor an extension of the fall duck hunting season. The lawmakers believe the population proportion in favor of extending the duck hunting season is 45% (based on historical data and previous votes). State the three conditions of the Central Limit Theorem and explain whether each condition is satisfied in this scenario.

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Essay

Q 52Q 52

A sampling method should be as precise and accurate as possible. Explain what these two terms mean and how each is measured.

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Q 54Q 54

Use the following information to answer the question. In a recent poll of 900 randomly selected adults, 37% reported that they could not swim 24 yards (the length of a typical gymnasium lap pool).
-Report the 95% confidence interval for the proportion of adults who self- report that they cannot swim 24 yards. Round final calculations to the nearest tenth of a percent.

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Essay

Q 55Q 55

Use the following information to answer the question. An event planner does some research and finds that in the area where a large children's event is to be held, approximately 1.75% of the children are lactose intolerant. Treat the 250 children expected at the event as a simple random sample from the local population of about 100,000 children.
-On average, how many of the children attending the event would be expected to be lactose intolerant, give or take how many? Round to the nearest whole person.

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Essay

Q 56Q 56

Explain the difference between the standard error of a sample proportion and the margin of error of a confidence interval for a population proportion.

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Q 57Q 57

Use the following information to answer the question. A marble manufacturer advertises that its bags of marbles will contain 25% "milky- white" marbles. Suppose that a bag containing 80 marbles is inspected.
-Use your answers to fill in the blanks: We expect % milky- white marbles, give or take %.

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Essay

Q 58Q 58

Use the following information to answer the question. An event planner does some research and finds that in the area where a large children's event is to be held, approximately 1.75% of the children are lactose intolerant. Treat the 250 children expected at the event as a simple random sample from the local population of about 100,000 children.
-Suppose the event planner assumes that only 0.8% of the children attending the event will be lactose intolerant so he orders 2 lactose- free meals. What is the approximate probability that he will have too many lactose- free meals? Round to the nearest thousandth.

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Essay

Q 59Q 59

Frederick is interested in whether residents of his community are opposed to the construction of a party store on the corner of a busy intersection. He randomly polls 150 residents in the community and receives responses from 55 residents. Of those who responded, 60% were opposed to the construction of the party store in the community so Frederick concludes that the majority of residents in his community oppose the construction of the party store. Explain what is wrong with this approach.

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Q 60Q 60

Suppose a city manager conducts a poll and finds that a 95% confidence interval for the proportion of residents who support yard watering restrictions during extended periods of no rain is 43% to 51%. Explain what the "95%" means.

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