A sample of 200 observations selected from a population gave a sample proportion equal to .27. a.

Question:

A sample of 200 observations selected from a population gave a sample proportion equal to .27.
a. Make a 99% confidence interval for p.
b. Construct a 97% confidence interval for p.
c. Make a 90% confidence interval for p.
d. Does the width of the confidence intervals constructed in parts a through c decrease as the confidence level decreases? If yes, explain why.