A Confidence Interval Was Used to Estimate the Proportion of Statistics

A confidence interval was used to estimate the proportion of statistics students that are female. A random sample of 72 statistics students generated the following 90% confidence interval: (0.438, 0.642) . Using the information above, what total size sample would be necessary if we wanted to estimate the true proportion to within ±0.08 using 95% confidence?

A) 105
B) 150
C) 420
D) 597