A sample proportion equal to 0.50 will require the smallest sample size to achieve a particular margin of error for a confidence interval for the proportion.

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Quizplus · Accepted Answer

A sample proportion of 0.50 actually requires the largest sample size to achieve a particular margin of error, as it maximizes the product p(1-p), which is used in the formula for the standard error of the proportion.

A Sample Proportion Equal to 0