The University is attempting to set its staffing plan for the next several year, and it wants to determine if the distribution of students among various graduate majors has changed from the historical averages which were: 24% were engineering graduate students, 35% were business majors, 15% were Counseling, 18% were health care and 8% were theology. This year's incoming class had 56 engineering graduate students, 66 business students, 20 counseling, 32 in health care and 26 theology students. Test to see if the distribution of graduate majors has changed (use α = 0.01). Show all information including test statistic, critical value and interpret the results.
Please show steps on getting the answer.