When determining the sample size for a proportion for a given level of confidence and sampling error, the closer to 0.50 that $\pi$ is estimated to be, the sample size required .
A)is smaller
B)is larger
C)is not affected
D)can be smaller, larger or unaffected

Question

When determining the sample size for a proportion for a given level of confidence and sampling error, the closer to 0.50 that  $\pi$ is estimated to be, the sample size required .
A)is smaller
B)is larger
C)is not affected
D)can be smaller, larger or unaffected

Quizplus · Accepted Answer

The closer to 0.50 the estimated proportion is, the larger the sample size required. This is because the variance of a proportion (p(1-p)) is maximized when p = 0.5, leading to a larger sample size needed to achieve a specific level of confidence and precision.

When Determining the Sample Size for a Proportion for a Given