When testing population proportions,the z statistic can be used when n $\pi$ and n(1 - $\pi$)are greater than five.

Question

When testing population proportions,the z statistic can be used when n $\pi$ and n(1 -  $\pi$)are greater than five.

Quizplus · Accepted Answer

This is true because the z statistic assumes a normal distribution and requires a sufficiently large sample size in order for the distribution to be approximately normal. When the sample size is large enough and the success and failure counts are both greater than five, the normal approximation to the binomial distribution can be used and the z statistic can be calculated.

When Testing Population Proportions,the Z Statistic Can Be Used When π\piπ

When Testing Population Proportions,the Z Statistic Can Be Used When $\pi$