A University is thinking of switching to a trimester academic calendar. A random sample of 100 administrators, 50 students, and 50 faculty members were surveyed. Administrators Students Faculty Opinion Favor 63 20 13 Oppose 37 30 37 Totals 100 50 50 I a. At the 0.10 level of significance, is there evidence of a difference among three groups with respect to the opinion of switching to a trimester academic year? b. If appropriate, use the Maraschilo procedure and a = 0.10 to determine which groups differ in the opinion of switching to a trimester academic year. Notes: Chi-Square Worksheets is highly recommended. For your convenience, it is attached. Please type your work, or 10% credits will be deducted Basic format requirements for part a: 1. Hypotheses statement for both Hi and Ho 2. Screenshot of Excel Output 3. Specify Test Statistic and Critical Value 4. Make the decision and justify (why reject or not reject the null hypothesis); and state the conclusion. Basic format requirements for part b: 1. Screenshot of Excel Output 2. State which two groups are significantly different or not-please compare all three pairs, and justify-why they are significantly different or not.