When Two Variables Are Unrelated to Each Other, the χ²

question 12

True/False

When two variables are unrelated to each other, the χ² test statistic is large.

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Definitions:

Test Statistic

A number calculated from sample data used to make inferences about a population parameter in hypothesis testing.

Mean Square

The mean square is the average of the squares of a set of numbers, often used in variance and regression analysis.

Degrees of Freedom

The number of values in a statistical calculation that are free to vary without violating any constraints.

F-statistic

A ratio of two variances that is used in analysis of variance (ANOVA) to assess the equality of variances across groups.