A sample of 200 observations selected from a population gave

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.