The standard error of the sampling distribution of the sample proportion $\hat { p }$ , when the sample size n = 100 and the population proportion p = 0.30, is 0.0021.

Question

Quizplus · Accepted Answer

The standard error of the sampling distribution of the sample proportion $\hat { p }$ is calculated using the formula $\sqrt{\frac{p(1-p)}{n}}$. Plugging in the given values, $\sqrt{\frac{0.30(1-0.30)}{100}} = \sqrt{\frac{0.21}{100}} = \sqrt{0.0021} = 0.0458$, not 0.0021.

The Standard Error of the Sampling Distribution of the Sample p^\hat { p }p^​

The Standard Error of the Sampling Distribution of the Sample $\hat { p }$