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In class of 20 students, a teacher predicts this distribution of final exam grades based on past experience. Grade Frequency 5 A B 6

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In class of 20 students, a teacher predicts this distribution of final exam grades based on past experience. Grade Frequency 5 A B 6 C 7 D/F 2 The actual class final exam grades are here. Grade Frequency A 7 B 7 C 5 D/F 1 At 0.05 significance, do the actual class final exam grades fit the teacher's predictions? a) Which is the null hypothesis? OHO: The class grades are independent of the teacher's predictions. OHO: The class grades fit the teacher's predictions. OHO: The class grades are dependent of the teacher's predictions. OHO: The class grades fit the teacher's predictions. b) Which is the alternative hypothesis? OH1: The class grades are dependent on the teacher's predictions. OH1: At least one grade category does not fit the teacher's predictions. OH1: All grade categories do not fit the teacher's predictions. OH1: The class grades are independent on the teacher's predictions. c) What is the test statistic? Round to 2 decimal places. d) What are the degrees of freedom needed to find the p-value? e) What is the p-value? Round to 4 decimal places. f) Which is the decision? Reject the null hypothesis.

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