In a simple random sample of 975 students from a large public university, it was found that 463 of the students changed majors during their college years. University officials concerned with counseling students are interested in the number of students who change majors rather than the proportion. The university has 37,500 undergraduate students. Required:
Convert the confidence interval for the proportion of students who change majors, (0.4435,0.5062) to a confidence interval for the number of students who change majors during their college years.