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Comparing all three chi-square tests, the one that involves only a single categorical variable is:
ATest of independence
BTest for homogeneity
CTest of two means
DGoodness of fit
Answer & Solution
Correct answer: D. Goodness of fit
1. Each chi-square test differs in how many variables and populations it involves.
2. The test of independence concerns two variables measured on one population.
3. The test for homogeneity concerns whether two populations have the same distribution.
4. The goodness-of-fit test compares one variable's observed counts with a claimed distribution.
5. A test of two means is not a chi-square test at all.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 11 'The Chi-Square Distribution', sections 11.1-11.5_
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