A survey of 473 women revealed that 24% wear at shoes to work. a. Use this sample information to develop a 99% confidence interval for the population proportion of women who wearat shoes to work. 1:. Suppose that the people who administered this survey now wish to estimate the proportion ofwomen who wear athletic shoes to work with a margin of error of 0.01 with 95% confidence. Determine the sample size required. a. S p S (Round to three decimal places as needed.)