Use the following information to answer the next two exercises: Five hundred eleven (511) homes in a certain southern California community are randomly surveyed to determine whether they meet minimal earthquake preparedness recommendations. One hundred seventy-three (173) of the homes surveyed meet the minimum recommendations for earthquake preparedness, and 338 do not.
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.
- Find the point estimate and the error bound for this confidence interval.
- Can we (with 95 percent confidence) conclude that more than half of all American adults believe this?
- 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.
- 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 59