Professor Stone complains that student teacher ratings depend on the grade the student receives. In other words, according to Professor Stone, a teacher who gives good grades gets good ratings, and a teacher who gives bad grades gets bad ratings. To test this claim, the Student Assembly took a random sample of 300 teacher ratings on which the student's grade for the course also was indicated. The results are given in the following table. Test the hypothesis that teacher ratings and student grades are independent at the 0.01 level of significance. Rating A B C F (or withdrawal) Row Total Excellent 14 17 16 3 50 Average 26 35 75 14 150 Poor 21 27 39 13 100 Column Total 61 79 130 30 300 Classify the problem as one of the following: Chi-square test of independence or homogeneity, Chi-square goodness of fit, Chi-square for testing 2 or . Chi-square test of homogeneity Chi-square goodness of fit Chi-square for testing 2 or Chi-square test of independence (i) Give the value of the level of significance. State the null and alternate hypotheses. H0: Student grade and teacher rating are independent. H1: Student grade and teacher rating are not independent. H0: Tests