Admissions offices of a university want to estimate the percentage ofstudents applying for admission who attend private schools

They want to estimate the percentage of private school applicants with 90%confidence and a margin of error of 4% How many applications should they sample?

The state's Department of Education reports that 12%of the high school students inthat state attend private high schools. The admissions officers know this information. Toestimate the percentage of private school students in their applicant pool with 90%confidence and a margin of error of 4%, how many applications should they sample?

They actually select a random sample of 450 applications and find that 46 of thosestudents attend private schools. Create the 90% confidence interval