A researcher took an SRS of 4 high schools from a region with 29 high schools for a study on the prevalence of smoking among female high school students in the region. The results were as follows:
Number of Number of Female Number of Female Number of School Students Students in School Students Interviewed Smokers
1 1471 792 25 10 2 890 447 15 3 3 1021 511 20 6 4 1587 800 40 27
(a). Estimate the percentage of female high school students in the region who smoke, along with a 95% confidence interval.
(b). Estimate the total number of female high school students in the region who smoke, along with a 95% confidence interval.