Question 5
A teacher claims that the proportion of students who attain grade C or above in Class I is higher than that in Class II. 50 students were selected at random from each of the two classes. At the end of the instruction period, each student is assigned a grade (A, B, C, D, or F) by an evaluating team. The data were recorded as follows:
Grade
A B C D F Totals
Class I 8 13 16 10 3 50
Class II 4 9 14 16 7 50
Perform an appropriate hypothesis test to check whether the data support the teacher's claim.
Use 5% level of significance. Report the $p$-value as well. [10 marks]
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