5. (10 points) A statistics teacher claims that, on the average, 20% of her students get a grade of A, 35% get a B, 25% get a C, 10% get a D, and 10% get an F. The grades of a random sample of 100 students were recorded. The following table presents the results. Grade A B C D F Observed 29 38 22 7 4 Expected a) (2 pts) State the null and alternative hypotheses. b) (2 pts) Compute the expected frequencies. Show computation for at least one of them. Fill in your answers in the table above. c) (2 pts) Compute the test statistic Z2 (You may use the table set up above and L1 in your 11-84 to help you.) ll) (2 pts) Either nd the p-value OR nd the critical value. If you nd p-value, please shade the area represent p-value. If you nd critical value, please indicate Where the critical value and rejection region are. e) (2 pts) Make a decision by either rejecting or fail to reject the null hypothesis. Then write a sentence stating the conclusion