A University Placement Office Wants to Estimate the Percentage of Graduates

Essay

A university placement office wants to estimate the percentage of graduates that obtain jobs within one month of graduation. They want to be $98 \%$ confident in their result and be within $5 \%$ of the true percentage. Find the necessary sample size for this experiment, and find a $98 \%$ confidence interval if $30 \%$ of the sample received jobs within one month of graduation.