The standard error of the population proportion will become larger
A)as population proportion approaches 0.
B)as population proportion approaches 0.50.
C)as population proportion approaches 1.00.
D)as the sample size increases.

Question

Quizplus · Accepted Answer

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

The Standard Error of the Population Proportion Will Become Larger