In the formulas for constructing interval estimates based on sample proportions, the expression P u(l - P u) has a maximum value of________.
A) 0.50
B) 0.25
C) 1.00
D) 0.75

Question

Quizplus · Accepted Answer

The expression P u(l - P u) is the variance of the sample proportion. Its maximum value occurs when P u = 0.5, which is the midpoint of the possible values of the proportion ranging from 0 to 1. When P u = 0.5, the variance is 0.25, which is the maximum possible value. Therefore, the answer is B) 0.25.

In the Formulas for Constructing Interval Estimates Based on Sample