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Chapter 12: Q. AP4.31 (page 832)

AP4.31 A city wants to conduct a poll of taxpayers to determine the level of support for constructing a new city-owned baseball stadium. Which of the following is the main reason for using a large sample size in constructing a confidence interval to estimate the proportion of city taxpayers who would support such a project?
a.To increase the confidence level
b. To eliminate any confounding variables
c.To reduce nonresponse bias
d. To increase the precision of the estimate
e. To reduce undercoverage

Short Answer

Expert verified

The correct answer is option (d) To increase the precision of the estimate.

Step by step solution

01

Given information

To determine the main reason for using a large sample size in constructing a confidence interval to estimate the proportion of city taxpayers who would support such a project.

02

Explanation

Any experimental data that is used to establish inferences about a population from a sample must take the sample size into account. The major point for selecting a large sample size for generating a confidence interval to estimate the proportion of city taxpayers who would support such a project is because the greater the sample size, the better the estimations will be, and thus the precision of the estimate will be increased.
As a result, option (d), which increases the precision of the estimate, is the proper choice.

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