Level of significance, null and alternate hypotheses, P-value, comparison and will you reject or fail to reject, conclusion in the context of the application

1) Teacher ratings: Grades -Professor Stone complains that students' teacher ratings depend on the grade students receive. 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 students' grades for the course were also indicated. The results are given in the following table. Test the hypothesis that teacher ratings and student grades are independent at a 1% level of significance.

Rating

A

B

C

F (or withdrawal)

Row Total

Excellent

14

18

15

3

50

Average

25

35

75

15

150

Poor

21

27

40

12

100

Column Total

60

80

130

30

300