The standard error of the sample proportion gets larger as:
A)p approaches 0
B)p approaches 0.50
C)p approaches 1.00
D)None of these choices.

Question

Quizplus · Accepted Answer

The standard error of the sample proportion is maximized when p = 0.50 because the formula for the standard error of a proportion is sqrt[p(1-p)/n], where p is the proportion and n is the sample size. This expression is largest when p = 0.5, as the product p(1-p) reaches its maximum value at this point.

The Standard Error of the Sample Proportion Gets Larger As