Computing the necessary sample size for an interval estimate of a population proportion requires a planning value for $\bar{p}$ . In case of any uncertainty about an appropriate planning value, we know the value that will provide the largest sample size for a given level of confidence and a given margin of error is
A) .10
B) .50
C) .90
D) 1

Question

Quizplus · Accepted Answer

The value of $\bar{p}$ that maximizes the sample size for a given level of confidence and margin of error is 0.50. This is because the formula for calculating the sample size for estimating a population proportion includes the term $\bar{p}(1-\bar{p})$, which reaches its maximum value when $\bar{p} = 0.5$.

Computing the Necessary Sample Size for an Interval Estimate of a Population