7
QuizMultiple Choice

Introduction to Sampling Methods

Question 7 • OK-Algebra II - Sem B -CA- 35031B

What proportion of city residents uses public transportation at least once a week? City planners would like to estimate this proportion and collect information from workers entering a large office building in the center of the city. Which of the following best describes the potential results of this survey?

Answer
A
This is a convenience sample and is likely to overestimate the proportion of residents who take public transportation.
B
This is a convenience sample and is likely to underestimate the proportion of residents who take public transportation.
C
This is a voluntary response sample and is likely to overestimate the proportion of satisfied residents who take public transportation.
D
This is a voluntary response sample and is likely to underestimate the proportion of satisfied residents who take public transportation.

Explanation

Surveying workers entering one large office building is a convenience sample because the planners are selecting people who are easy to reach, not randomly sampling city residents. Workers going to a central office are likely to use public transportation more often than residents overall, so the survey is likely to overestimate the proportion who use it at least once a week. Choice A describes both the sampling method and the likely direction of bias.

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