The sampling distribution for $\hat{p}$ is approximately normal for a large sample size $n$, where $n$ is considered large if both $n \hat { p } \geq 15$ and $n ( 1 - \hat { p } ) \geq 15$.

Question

Quizplus · Accepted Answer

The sampling distribution of $\hat{p}$ is approximately normal when the sample size is large enough, typically when both $n \hat{p} \geq 15$ and $n(1 - \hat{p}) \geq 15$, ensuring sufficient expected counts in both categories.

The Sampling Distribution For p^\hat{p}p^​ Is Approximately Normal for a Large Sample Size

The Sampling Distribution For $\hat{p}$ Is Approximately Normal for a Large Sample Size