# Adjusting to Level of Confidence and Sampling Error

When determining the sample size for a proportion for a given level of confidence and sampling error, the closer to 0.50 that p is estimated to be, the ___________ the sample size required.

A. Smaller

B. Larger

C. Sample size is not affected

D. The effect cannot be determined from the information given

https://brainmass.com/statistics/variance/adjusting-level-confidence-sampling-error-77991

#### Solution Preview

The variance of the sample proportion is p*(1-p)/n. Now, the term "p*(1-p)" is maximized when p = 0.50 (the maximum is 0.5*0.5 = 0.25). For other ...

#### Solution Summary

This solution provides a brief explanation for determination of sampling size.

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