In a random sample of 980 students from a large public university, it was found that 454 of the students changed majors during their college years.
The 99% confidence interval for the proportion of students at this university who change majors is (0.4223, 0.5043). However, 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 the confidence interval for the proportion to a confidence interval for the number of students who change majors during their college years.
(Give your answer as an interval in the form (lower limit, upper limit). Use decimal notation. Give the limits as whole numbers.)
interval for the number of students: