*TOUGH QUESTION*

Incoming freshmen apply for majors in A&S, Eng, B&M, and Comp in a ratio of approximately 5:6:6:8. But many students change their major during the course of study. The university officials are interested in determining whether the distribution of majors among graduating students differ from that of incoming students. They took a random sample of 200 graduating students and classified them according to their majors. The distribution of graduating students in this sample is given below.

Major

A&S Eng B&M Comp

Number of Students: 60 30 60 50

Is the distribution of majors among graduating students different from that of incoming students? Provide statistical justification for your answer!

Thank you.