9
QuizMultiple Choice

Chi-Square Test for Homogeneity — Quiz

Question 9 • Statistics

What are the appropriate hypotheses to determine if the distribution of response differs among these three populations?

Answer
A
cap h sub 0 : There is an association between the type of person who is surveyed and the response. cap h sub A : There is no association between the type of person who is surveyed and the response.
B
cap h sub 0 : There is no difference in the distribution of responses among these three populations. cap h sub A : There is a difference in the distribution of response among these three populations.
C
cap h sub 0 : There is no association between the type of person who is surveyed and the response. cap h sub A : There is an association between the type of person who is surveyed and the response.
D
cap h sub 0 : There is a difference in the distribution of responses among these three populations. cap h sub A : There is no difference in the distribution of responses among these three populations.

Explanation

The null hypothesis states that the response has the same distribution in all three populations. The alternative is that at least one population has a different response distribution. Choice B states these hypotheses; the other choices either reverse the null and alternative or describe association rather than directly comparing the distributions.

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