The standard error of the sample proportion is largest when π = 0.50.

Name: The standard error of the sample proportion is largest when π = 0.50.
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Quizplus · Accepted Answer

The formula for the standard error of the sample proportion is SE(p) = sqrt[(p(1-p))/n], where p is the sample proportion and n is the sample size. When π = 0.50, the maximum possible value of p(1-p) is obtained, which means that the standard error is also at its maximum. Therefore, the statement is true.

The Standard Error of the Sample Proportion Is Largest When