Question 23 • Probability and Statistics with Applications Honors Sem-1-FL-1210300 (2024-2025)
A community is considering raising funds to pay for improvements to the community swimming pool. To measure the level of interest, community leaders survey patrons of the community pool on a Saturday afternoon. Of the 103 patrons surveyed, 87 approve of raising funds to pay for improvements. Which of the following is a true statement regarding the design and results of the survey?
Answer
A
This is a convenience sample and is representative of community support.
B
This is a convenience sample and likely overestimates support for raising funds.
C
This is a voluntary response sample and likely overestimates support for raising funds.
D
This is a voluntary response sample and likely underestimates support for raising funds.
Explanation
The leaders surveyed people who happened to be at the pool on a Saturday afternoon, so this is a convenience sample, not a voluntary response sample. Pool patrons may be especially interested in improving the pool, so their support may be higher than support among the community as a whole. Thus, the survey likely overestimates support for raising funds.
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