A sample selected from a population gave a sample proportion equal to .73.
a. Make a 99% confidence interval for p assuming n = 100.
b. Construct a 99% confidence interval for p assuming n = 600.
c. Make a 99% confidence interval for p assuming n = 1500.
d. Does the width of the confidence intervals constructed in parts a through c decrease as the sample size increases? If yes, explain why.