I need to check my answer. The answer I got was 3120.

I need to check my answer. The answer I got was 3120.

If we believe the percent to be 75%, how many police officers must we survey to estimate the proportion of officers who graduated from a police academy if we want to ensure we can be 99% we are within 2% of the true proportion?

Keep intermediate steps to four decimals when possible & enter your answer to two decimals