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Answer :
The appropriate test to test the hypothesis that the distribution of final grades in the class has changed is the Chi-Square Goodness of Fit test.
The Chi-Square Goodness of Fit test is used to determine whether the observed distribution of data fits an expected distribution. In this case, the teacher wants to test whether the distribution of final grades in the class has changed from the historically distributed percentages.
To perform the Chi-Square Goodness of Fit test, the observed frequencies of each grade category (A, B, C, D, F) are compared to the expected frequencies based on the historically distributed percentages. The test calculates a chi-square statistic and compares it to a critical value from the chi-square distribution. If the calculated chi-square statistic is greater than the critical value, it suggests that the observed distribution significantly deviates from the expected distribution, indicating a change in the grade distribution.
Therefore, the Chi-Square Goodness of Fit test is the appropriate statistical test to assess whether the distribution of final grades in the class has changed.
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