In a random sample of 965 students from a large public
university, it was found that 461 of the students changed majors
during their college years. (a) Give a 95% confidence interval for
the proportion of students at this university who change majors.
(Round your answers to four decimal places.) , (b) Express your
results from (a) in terms of the percent of students who change
majors. (Round your answers to two decimal places.) %, % (c)
University officials concerned with counseling students are
interested in the number of students who change majors rather than
the proportion. The university has 38,800 undergraduate students.
Convert the confidence interval you found in (a) to a confidence
interval for the number of students who change majors during their
college years. (Round your answers to the nearest whole number.)
students, students