20. A survey of 499 women for the American Orthopaedic 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 also wishes to estimate the proportion of women who wear athletic shoes to work with a margin of error of 0.01 with 95% confidence. Determine the sample size required