In June 2012, a Gallup Poll reported that 1503 out of a total of 2004 U.S. adults said they had a “great deal of confidence” or “quite a lot of confidence” in the military. Assume the conditions for using the CLT are met.

a. Find a 95% confidence interval for the proportion that reported a great deal of confidence or quite a lot of confidence in the military. Interpret this interval.

b. Find a 80% confidence interval. Interpret it.

c. Which interval is wider?

d. How would a 90% interval compare with the others in width?