In the equation for calculating a confidence interval for a proportion, $p \pm z _ { a / 2 } \sqrt { \frac { p ( 1 - p ) } { n } }$ what does $\sqrt { \frac { p ( 1 - p ) } { n } }$ represent?
A) the mean for the sampling distribution of the proportion
B) the degree of freedom for the sampling distribution of the proportion
C) the standard error for the sampling distribution of the proportion
D) the estimator for sampling distribution of the proportion

Question

Quizplus · Accepted Answer

The expression $\sqrt { \frac { p ( 1 - p ) } { n } }$ represents the standard error of the sampling distribution of the proportion, which measures the variability of the sample proportion.

In the Equation for Calculating a Confidence Interval for a Proportion