4. (15 points) Consider rolling a die. We want to test the hypothesis that the die is fair, that is, the probability ofgetting each ofthe 6 faces, 1, 2,...,6, is equal. Supp0se that the die is rolled 120 times and each outcome is recorded. ".[he observed frequ-cies of the 6 faces are listed below Face 1 2 3 4 5 6 Observed 20 22 17 13 19 24 A Chi-Square goodness-of-t test with a type-I error of 5% is used. (a) State the hypotheses of the Chi-Square goodness-oft test. (5 points) (b) Compute the test statistic. (5 points) (c) Find the critical value {i.e., threshold). Will you reject the hypothesis described above? What is you: conclusion? (5 points)