The test of independence and the test for homogeneity differ in whether the question concerns:
AMeans or the medians
BSamples or censuses
CThe rows or columns
DOne population or two
Answer & Solution
Correct answer: D. One population or two
1. Both tests use the same statistic but answer different questions.
2. The test of independence asks whether two variables are related.
3. The test for homogeneity can be used to draw a conclusion about whether two populations have the same distribution.
4. So the number of populations involved is what separates them.
_Source: OpenStax Introductory Statistics 2e (CC BY 4.0), Ch 11 'The Chi-Square Distribution', sections 11.1-11.5_
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