A survey was conducted to determine student, faculty, and administration attitudes about a new university parking policy. Three random samples of 391 students, 188 faculties, and 83 administrators were selected from corresponding populations. Each of 662 participants was asked his/her opinion about. new university parking policy. The survey yielded the following results. Status Student Faculty Administration Opinion about parking policy Favor 252 107 43 Do not favor (oppose) 139 81 40 391 188 83 Test the hypothesis that the proportions of the students, faculty, and administrators are the same within each opinion category. Use a = 0.05. a. Place the values of row and overall totals, and expected frequencies into the table. Leave two digits after decimal point in the expressions for expected frequencies. (1 mark). b. State null and alternative hypotheses. (1 mark) He: H: c. State the calculated value of test statistic. (1 mark) d. State the critical value of the test. (1 mark) e. Decide whether null hypothesis is true and make the conclusion about the proportions of the students, faculty, and administrators within each opinion category. (1 mark)