A State's Department of Education Reports That 12% of the High

Essay

A state's Department of Education reports that 12% of the high school students in that state attend private high schools. The
State University wonders if the percentage is the same in their applicant pool. Admissions officers plan to check a random
sample of the over 10,000 applications on file to estimate the percentage of students applying for admission who attend
private schools.
-The admissions officers want to estimate the true percentage of private school applicants to
within $\pm 4 \%$
ith 90% confidence. How many applications should they sample?