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    Performing Cchi Square Tests for Independence of Two Groups

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    Are teacher evaluations independent of grades? After midterms, a random sample of 284 students was asked to evaluate teacher performance. The students were also asked to supply their midterm grade in the course being evaluated. In this study, only students with a grade of A, B, or C were included in the summary table. Use a 5% level of significance to test the claim that teacher evaluations are independent of midterm grades. (40 pts) Mid

    Term Grade
    Evaluation A B C Row Total
    Positive 53 33 18 104
    Neutral 25 46 29 100
    Negative 14 22 44 80
    Column Total 92 101 91 284

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    Solution Preview

    1. We need to calculate expected value for each cell, the result is

    Evaluation A B C
    Positive 92*104/284 101*104/284 91*104/284
    Neutral 92*100/284 101*100/284 91*100/284
    Negative 92*80/284 ...

    Solution Summary

    The solution gives detailed steps on performing two chi square tests for testing independence of two groups.