Question 8.92

8.92 Students change their majors

In a random sample of 890 students from a large public university, it was found that 404 of the students changed majors during their college years.

  1. Give a 99% confidence interval for the proportion of students at this university who change majors.
  2. Express your results from part (a) in terms of the percent of students who change majors.
  3. University officials are more interested in the number of students who change majors than in the proportion. The university has 30,000 undergraduate students. Convert your confidence interval in part (a) to a confidence interval for the number of students who change majors during their college years.