In the equation for calculating a confidence interval for a proportion, $p \pm z_{a} / 2 \sqrt{\frac{p(1-p)}{n}}, \text { what does } \sqrt{\frac{p(1-p)}{n}}$
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

In the equation for calculating a confidence interval for a proportion, $p \pm z_{a} / 2 \sqrt{\frac{p(1-p)}{n}}, \text { what does } \sqrt{\frac{p(1-p)}{n}}$
 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

Quizplus · Accepted Answer

The term $\sqrt{\frac{p(1-p)}{n}}$ represents the standard error for the sampling distribution of the proportion. It measures the variability of the sample proportion around the true population proportion.

In the Equation for Calculating a Confidence Interval for a Proportion