A survey of 400 women for the American Orthopedic Foot and Ankle Society revealed that 38% wear flats to work.
A.) Use this sample information to develop a 99% confidence interval for the population proportion of women who wear flats to work.
B.) Suppose the society wished to estimate the proportion of women who wear flats to work within a margin of error of 0.01 (one percentage point) with 95% confidence. Determine the sample size required.