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.

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The Answer of 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.

A University Placement Office Wants to Estimate the Percentage of Graduates