Question: Seat belt use The proportion of drivers who use seat belts depends on things like age (young people are more likely to go unbelted) and gender (women are more likely to use belts). It also depends on local law. In New York City, police can stop a driver who is not belted. In Boston at the time of the study, police could cite a driver for not wearing a seat belt only if the driver had been stopped for some other violation. Here are data from observing random samples of female Hispanic drivers in these two cities:

City                    Drivers           Belted

New York              220               183

Boston                 117                68

(a) Calculate the standard error of the sampling distribution of the difference in the proportions of female Hispanic drivers in the two cities who wear seat belts. What information does this value provide?

(b) Construct and interpret a 95% confidence interval for the difference in the proportions of female.