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.

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Rating Excellent Average 14 25 21 60 18 35 27 80 C F (or withdrawal Row Total 15 75 40 130 3 15 12 30 50 150 100 300 Column Total