AnswersNC-Math 4 CRConsiderations When Sampling

Considerations When Sampling Answers

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Some newer phones provide a screen time summary, which shows the amount of screen time for a user in a given week. A student would like to estimate the mean screen time for all phone users. She asks a random sample of 50 students at her school to share their screen time for the past 24 hours. The mean screen time for the chosen students is 2.73 hours. Which statement is an appropriate interpretation of the results?

A
All students probably have screen times close to 2.73 hours.
B
To obtain a better estimate of mean screen time, more students should be surveyed.
C
Because of undercoverage, 2.73 likely underestimates the mean screen time of all phone users.
D
2.73 hours is a suitable estimate for mean screen time of all phone users because a random sample was taken.
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Many large cities use taxes on entertainment tickets to pay for improvements to public facilities, like stadiums, arenas, and concert venues. A city council proposal would increase the current ticket tax in order to raise funds for a new public concert hall. Council representatives plan to conduct a survey outside of a large concert in the summer and ask selected adults if they would support an increase in the ticket tax to pay for the new concert hall. Which type of bias will most likely affect the survey results?

A
This is response bias because it is likely that many who respond will not provide a truthful opinion of the ticket tax.
B
This is undercoverage bias because only those attending the concert will have an opportunity to register an opinion.
C
This is nonresponse bias because many who are asked about the ticket tax may choose to not provide a response.
D
This is voluntary response bias because many vocal supporters of the ticket tax may demand to register their opinion.
7

Many large cities have considered or passed proposals that ban the use of plastic grocery bags in stores. A concerned student would like to measure if residents of her hometown would consider a similar ban on plastic bags. Standing in a busy shopping area, the student approaches adults and asks, "Items made of plastics are a dangerous, growing source of pollution to our world’s oceans and threaten many animal species. Given this, would you support a ban on plastic shopping bags in our city stores?” How might the results of this survey be biased in estimating the proportion of all town residents who would support a ban on plastic bags?

A
The student may overestimate support for a plastic bag ban because only adults in the shopping area were chosen to participate.
B
The student may overestimate support for a plastic bag ban because the wording of the question may influence adults to support a ban.
C
The student may underestimate support for a plastic bag ban because the wording of the question may influence adults to not support a ban.
D
The student may underestimate support for a plastic bag ban because some adults may not want to answer questions about the environment.
8

A team of community members hopes to use land in a current empty lot for a dog park. To determine if the community generally approves of the use of the lot for a dog park, volunteers survey shoppers leaving a pet store located near the lot. The results show that 83% of the 112 people surveyed approve of the dog park plan. How might the survey results be biased in estimating community support for a dog park?

A
The team could overestimate community support because some shoppers may choose to not respond to the survey.
B
The survey should show little bias and estimate community support well because a random sample of shoppers was chosen.
C
The team could overestimate community support because those surveyed may be more likely to support a park than the overall community would.
D
The team could underestimate community support because those surveyed may be less likely to support a park than the overall community would.
9

A city government is considering raising the local income tax to pay for improvements to government facilities. A private citizen opposes the plan and stands on a busy street to survey residents with the question, "Do you agree that wasteful spending is a serious problem in our local government?” The results of the survey will most likely suffer from which type of bias?

A
This is nonresponse bias because many who are asked the question may choose not to respond.
B
This is question wording bias because the question leads those surveyed toward a desired response.
C
This is voluntary response bias because those with a passionate opinion may choose to participate.
D
This is undercoverage bias because many in the population will not have the opportunity to register an opinion.
10

An executive for a large company is considering a change to health insurance plans offered to the employees. To assess employee satisfaction with the current plan, the executive sends an email to all company employees asking their opinion of the current plan. A summary of the results received shows that 27% of company employees are "highly satisfied” with the current health insurance plan. Which statement about the results is most likely to be true?

A
The results may suffer from undercoverage because the opinions of segments of employees may not be recorded.
B
The results provide an accurate representation of support because the opinion of all employees has been recorded.
C
The results may suffer from nonresponse bias because many satisfied employees may choose to not respond to the email survey.
D
The estimate of 27% for employee support of the health plan is likely accurate because all company employees were contacted via email.

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Considerations When Sampling Answers — NC-Math 4…