When calculating a sample size for a certain margin of error m,what value of p^* will result in the largest sample size? A).5 B).05 C)0 D)1

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Quizplus · Accepted Answer

The formula for calculating sample size in many surveys or experiments, especially when estimating proportions, often includes the term $p(1-p)$. The value of $p(1-p)$ reaches its maximum when $p = 0.5$, making the sample size largest at this point to achieve a certain margin of error.

When Calculating a Sample Size for a Certain Margin of Error