When calculating the sample size to use in estimating a population proportion, using a proportion equal to 0.25 will provide the maximum sample size.

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Quizplus · Accepted Answer

Using a proportion equal to 0.5 (or 50%) will provide the maximum sample size because it represents the point of maximum variability or uncertainty, which in turn requires the largest sample size to estimate the population proportion with a given level of confidence and margin of error.

When Calculating the Sample Size to Use in Estimating a Population