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Considerations When Sampling — Quiz Answers

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To estimate the proportion of city residents who shop online, a researcher visits a mall on a weekday morning and asks people she encounters to share their experiences with online shopping, including this question: "Do you shop online at least once each week?” The results show that 32 percent of shoppers shop online at least once per week. Which of these describes a likely source of bias present in the survey results?

A
Response bias may be present because people may not be truthful with their responses.
B
Nonresponse bias may be present because people in a mall may not want to answer questions.
C
Question wording bias may be present because the question asked may exclude important information.
D
Undercoverage bias may be present because people in the workforce and many younger people could be excluded.
2
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A random sample of adults in a large US city responded to a series of questions about their use of public transportation. The results of the survey showed that 520 of the 838 adults in the sample open paren 62 percent close paren have used public transportation in the past week. How might the results of the survey be biased in obtaining an estimate of all US residents who use public transportation?

A
Because the sample includes only residents in one US city, the survey may overestimate the proportion of US adults who use public transportation.
B
Because those surveyed may choose not to answer, the survey may underestimate the proportion of US residents who use public transportation.
C
Because not all residents in this US city were asked to participate, the survey may underestimate usage of public transportation.
D
Because the survey includes a random sample of residents in one US city, the survey should provide an accurate estimate of the proportion of US adults who use public transportation.
4

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 undercoverage bias because only those attending the concert will have an opportunity to register an opinion.
B
This is response bias because it is likely that many who respond will not provide a truthful opinion of the ticket tax.
C
This is voluntary response bias because many vocal supporters of the ticket tax may demand to register their opinion.
D
This is nonresponse bias because many who are asked about the ticket tax may choose to not provide a response.
5

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 percent 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 estimate of 27 percent for employee support of the health plan is likely accurate because all company employees were contacted via email.
B
The results provide an accurate representation of support because the opinion of all employees has been recorded.
C
The results may suffer from undercoverage because the opinions of segments of employees may not be recorded.
D
The results may suffer from nonresponse bias because many satisfied employees may choose to not respond to the email survey.
8

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 question wording bias because the question leads those surveyed toward a desired response.
B
This is undercoverage bias because many in the population will not have the opportunity to register an opinion.
C
This is voluntary response bias because those with a passionate opinion may choose to participate.
D
This is nonresponse bias because many who are asked the question may choose not to respond.
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 percent supporting it. Which statement describes the most likely type of bias in this setting?

A
This is question wording bias because the phrasing of the plan may have confused some residents.
B
This is nonresponse bias because many residents may choose to not participate.
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

Residents of a community currently pay a fee for recreational services in their neighborhood, such as tennis courts, running trails, and a pool. To assess whether there is support for raising the fee for the upcoming summer, a random sample of 50 residents is contacted and asked this question: "Would you support a $10 increase in the recreational fee to support programs for the health and well-being of children in the community?” Of the 50 residents contacted, 42 approved of the fee increase. Which statement describes a likely source of bias present in the survey results?

A
Undercoverage bias may be present because some parts of the community may not be represented in the survey results.
B
Nonresponse bias may be present because many who support the fee increase may choose to not respond.
C
There may be little bias in the results because a random sample of residents was taken.
D
Question wording bias may be present because the question leads those responding toward a certain response.

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