In a survey of 6000 women, 3431 say they change their nail polish once a week. Construct a 95 % confidence interval for the population proportion of women who change their nail polish once a week. A 95 % confidence interval for the population proportion is (____), (____). . In a random sample of 20 people, the mean commute time to work was 30.2 minutes and the standard deviation was 7.3 minutes. Assume the population is normally distributed and use a t-distribution to construct a 95 % confidence interval for the population mean mu . What is the margin of error of mu? Interpret the results