Considerations When Sampling Answers

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A business developer would like to purchase an abandoned corner lot in a small town and build a small convenience store with gasoline pumps on the site. Town leaders are concerned about potential traffic and noise impact to the adjacent neighborhood and send printed surveys to 500 homes in the affected area. Of the 123 surveys returned, 87% oppose the plan to develop the corner lot. How could the sampling design cause town leaders to overestimate or underestimate overall support of the development plan?

A
The leaders may underestimate support because only 123 surveys were returned.
B
The leaders may overestimate overall support because many residents who did not receive surveys will support the plan.
C
The leaders may underestimate overall support because many residents who support the plan may be less likely to respond.
D
The leaders may underestimate support because it can be assumed that all residents who did not return the surveys would support the plan.
3

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.
6

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.
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.
9

To ease congestion in a downtown area, city planners are considering a plan to widen a major thoroughfare from two driving lanes to three driving lanes. This plan would require closing a section of downtown streets as the work begins. In order to assess public support for the plan, city planners provided a phone number to residents that could be used to register opinion for or against the plan. In total, 267 calls were received, with only 24% supporting it. Which statement describes the most likely type of bias in this setting?

A
This is nonresponse bias because many residents may choose to not participate.
B
This is question wording bias because the phrasing of the plan may have confused some residents.
C
This is voluntary response bias because residents could choose to call and register their opinion.
D
This is response bias because residents may not be honest with their feelings about the plan.
10

Many adults owe money from their college loans for years into their professional careers. A newspaper would like to estimate the proportion of all adults in the city who have debts from college loans. To collect data, a random sample of 300 young adults between the ages of 25 and 35 is asked, "Do you have more than $5,000 in current college debts?” 68% of those sampled reported that they do have more than $5,000 in college-related debts. How might this sample be biased in obtaining an estimate of all adults in the city who have college debts?

A
Because young adults were randomly selected, this sample should provide an unbiased estimate of the proportion of adults with college debts.
B
Because only young adults were sampled, undercoverage bias may cause the newspaper to overestimate the proportion of all adults who have college debts.
C
Because some young adults may not honestly report their debts, response bias may cause the newspaper to underestimate the proportion of adults with college debts.
D
Because adults with college debts may be less likely to respond, voluntary response bias may cause the newspaper to underestimate the proportion of adults who have college debts.

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