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

Question

Quizplus · Accepted Answer

The central limit theorem states that the sampling distribution of the sample mean will be approximately normal for large sample sizes, regardless of the shape of the population distribution. In this case, the sample size is considered large if both n $\hat { p }$ ? 15 and n(1 - $\hat { p }$ ) ? 15, so the sampling distribution of $\hat { p }$ will be approximately normal.

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

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