Chapter 6, Problem 6.14P

For each of the following three sample sizes, construct the 95% confidence interval for the population proportion. Use a sample proportion of 0.40 throughout. What happens to interval width as sample size increases? Why?

$P_s=0.40$

$\begin{array}{c}\text{Sample}\text{A:}N=100\\ \text{Sample}\text{B:}N=1000\\ \text{Sample}\text{C:}N=10,000\end{array}$