Question 1. In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 500 such persons is drawn, of whom 198 turn out to be currently enrolled in college. Estimate the percentage of all persons age 18 to 24 in that city who are currently enrolled in college.
Question 2. In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 500 such persons is drawn, of whom 198 turn out to be currently enrolled in college. Find the SE% for the percentage of all persons age 18 to 24 in that city who are currently enrolled in college.
Question 3. In a certain city, there are 100,000 persons age 18 to 24. A simple random sample of 500 such persons is drawn, of whom 198 turn out to be currently enrolled in college. If possible, find a 95% confidence interval for the percentage of all persons age 18 to 24 in that city who are currently enrolled in college.
Question 4. If 600 different polling firms each construct a 99% confidence interval (based on 600 different random samples) for the average age of male college students in the U.S. majoring in mathematics, how many of these intervals would you expect "on the average" to cover the true average age of such students?