A chi-square goodness-of-fit test with 3 levels of a categorical variable will have 3 degrees of freedom.

Name: A chi-square goodness-of-fit test with 3 levels of a categorical variable will have 3 degrees of freedom.
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A chi-square goodness-of-fit test with k categories has k-1 degrees of freedom. Therefore, a chi-square goodness-of-fit test with 3 levels of a categorical variable will have 2 degrees of freedom.

A Chi-Square Goodness-Of-Fit Test with 3 Levels of a Categorical