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The Chi-Square test cannot be used as a:
Question

The Chi-Square test cannot be used as a:

A.

Goodness of fit test

B.

Test of association

C.

Test of homogeneity

D.

Measure of comparison of means

Correct option is D

The correct answer is (d).
Introduction
Chi‑square tests are non‑parametric and used for categorical data to test goodness‑of‑fit, association (independence), and homogeneity. They cannot compare means; that requires parametric tests like t‑test or ANOVA.
Information Booster

  • Goodness‑of‑fit: compares observed frequencies to expected.
  • Test of association: checks if two variables are related.
  • Test of homogeneity: compares distributions across groups.
  • Comparison of means is for continuous data.
Additional Knowledge
  • Options A, B, C are valid uses of Chi‑square.
Interesting Fact
Chi‑square tests assume expected frequencies of at least 5 in each cell; otherwise, Fisher's exact test is used.

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