A Population Proportion · Exercise 46

A national survey of 1,000 adults was conducted on May 13, 2013, by a group of researchers. It concluded with 95 percent confidence that 49 percent to 55 percent of Americans believe that big-time college sports programs corrupt the process of higher education.

(a) Find the point estimate and the error bound for this confidence interval.
(b) Can we (with 95 percent confidence) conclude that more than half of all American adults believe this?
(c) Use the point estimate from Part a and n = 1,000 to calculate a 75 percent confidence interval for the proportion of American adults who believe that major college sports programs corrupt higher education.
(d) Can we (with 75 percent confidence) conclude that at least half of all American adults believe this?

OpenStax, Statistics · §8.3 A Population Proportion · Exercise 46