Chapter 9.2, Problem 13E

The use of the interval

$\hat{p}\pm (z\text{}\text{}\text{}\text{critical}\text{}\text{}\text{value})\sqrt{\frac{\hat{p}(1-\hat{p})}{n}}$

requires a large sample. For each of the following combinations of n and $\hat{p}$， indicate whether the sample size is large enough for use of this interval to be appropriate.

1. a. n = 50 and $\hat{p}$ ＝ 0.30
2. b. n = 50 and $\hat{p}$ ＝ 0.05
3. c. n = 15 and $\hat{p}$ ＝ 0.45
4. d. n = 100 and $\hat{p}$ ＝ 0.01