The standard error of the sampling distribution of the sample proportion $\hat { p }$
,when the sample size n = 50 and the population proportion p = 0.25,is 0.00375.

Question

The standard error of the sampling distribution of the sample proportion $\hat { p }$ 
,when the sample size n = 50 and the population proportion p = 0.25,is 0.00375.

Quizplus · Accepted Answer

The standard error of the sample proportion is calculated using the formula $\sqrt{\frac{p(1-p)}{n}}$. For $p = 0.25$ and $n = 50$, it is $\sqrt{\frac{0.25 \times 0.75}{50}} = 0.0612$, not 0.00375.

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

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