Chi-Square Test for Homogeneity — Quiz

Question 4 • Statistics

What are the appropriate hypotheses to determine if the distribution of grades would differ for all students like these under these two treatments?

Answer

cap h sub 0 : There is no difference in the distribution of grades for all students like these who use a small or large index card. cap h sub A : There is a difference in the distribution of grades for all students like these who use a small or large index card.

cap h sub 0 : There is no association between index card size and grade. cap h sub A : There is an association between index card size and grade.

cap h sub 0 : There is a difference in the distribution of grades for all students like these who use a small or large index card. cap h sub A : There is no difference in the distribution of grades for all students like these who use a small or large index card.

cap h sub 0 : There is an association between index card size card and grade. cap h sub A : There is no association between index card size card and grade.

Explanation

Because the question compares grades under two treatments—using a small or large index card—the hypotheses should compare the grade distributions for those treatments. The null hypothesis is that the distributions are the same (no difference); the alternative is that they differ. Choice A states these hypotheses directly.

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