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Two different professors teach an introductory statistics class at a local college. The table below shows the distribution of final grades they reported. We wonder

Two different professors teach an introductory statistics class at a local college. The table below shows the distribution of final grades they reported. We wonder if one of the professors is an easier grader.

Professor Jones

Professor Smith

A

3

9

B

11

12

C

14

8

D

9

4

F

8

4

What is the correct type of test to use for this situation?What are the conditions required to use this test? Have the conditions been satisfied? Explain.

Row marginal yes they have it row by row column by column

  • State the null and alternative hypothesis.

  • What is the X^2 statistic and p-value for the test?

  • At the = .05 level, what conclusion can your draw about the two professors?

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