If p = 0.90, a sample size of n =10 is large enough for the samplingdistribution of $\hat{ p}$ to be well approximated by a normal distribution.

Question

If p = 0.90, a sample size of n =10 is large enough for the samplingdistribution of $\hat{ p}$  to be well approximated by a normal distribution.

Quizplus · Accepted Answer

A sample size is considered large enough for the sampling distribution of $\hat{p}$ to be approximated by a normal distribution if both np and n(1-p) are greater than or equal to 10. Here, n(1-p) = 10(0.10) = 1, which is less than 10.

If P = 090, a Sample Size of N =10 Is Large Enough