A Confidence Interval Was Used to Estimate the Proportion of Statistics

Multiple Choice

A confidence interval was used to estimate the proportion of statistics students who are female. A random sample of 72 statistics students generated the following confidence interval: (.438, .642) .
Using the information above, what sample size would be necessary if we wanted to estimate the
True proportion to within 3% using 99% reliability?

A) 1916
B) 1831
C) 1769
D) 1842