Chapter 8.3, Problem 24E

1. a. For which of the sample sizes given in the previous exercise would the sampling distribution of $\hat{p}$ be approximately normal if p = 0.65?
2. b. For which of the sample sizes given in the previous exercise would the sampling distribution be approximately normal if p = 0.2?

8.23 A random sample is to be selected from a population that has a proportion of successes p = 0.65. Determine the mean and standard deviation of the sampling distribution of $\hat{p}$ for each of the following sample sizes:

1. a. n = 10
2. b. n = 20
3. c. n = 30
4. d. n = 50
5. e. n = 100
6. f. n = 200