A survey of 400 women for the American Orthopedic Foot and Ancle 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 athletic shoes to work and 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.