You wish to compute a confidence interval for a population proportion p.For a constant confidence level and sample size,which of the following values of $\hat { p }$
Will result in the interval with the shortest width?
A)0.5
B)0.9
C)0.8
D)0.2
E)0.4

Question

Quizplus · Accepted Answer

The width of a confidence interval for a proportion is smallest when $\hat{p}(1-\hat{p})$ is minimized. This occurs when $\hat{p}$ is farthest from 0.5, so $\hat{p} = 0.9$ results in a narrower interval than $\hat{p} = 0.5$.

You Wish to Compute a Confidence Interval for a Population p^\hat { p }p^​

You Wish to Compute a Confidence Interval for a Population $\hat { p }$