Chapter 5.4, Problem 5.36LM

Suppose a random sample of n measurements is selected from a binomial population with probability of success p = .2. For each of the following values of n, give the mean and standard deviation of the sampling distribution of the sample proportion, $\hat{p}$.

1. a. n = 50
2. b. n = 1, 000
3. c. n = 400