In Exercises 21 and 22, construct the indicated confidence interval for p1 - p2. Assume the samples are random and independent. 21. Students Planning to Study Education In a survey of 10,000 students...

In Exercises 21 and 22, construct the indicated confidence interval for p1 - p2. Assume the samples are random and independent.

21. Students Planning to Study Education In a survey of 10,000 students taking the SAT, 6% were planning to study education in college. In another survey of 8000 students taken 10 years before, 9% were planning to study education in college. Construct a 95% confidence interval for p1 - p2, where p1 is the proportion from the recent survey and p2 is the proportion from the survey taken 10 years ago. (Adapted from The College Board)

22. Students Planning to Study Health-Related Fields In a survey of 10,000 students taking the SAT, 18% were planning to study health-related fields in college. In another survey of 8000 students taken 10 years before, 16% were planning to study health-related fields in college. Construct a 90% confidence interval for p1 - p2, where p1 is the proportion from the recent survey and p2 is the proportion from the survey taken 10 years ago. (Adapted from The College Board)