Setting Up a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 3/5

The table shows counts for two binary variables.

A vs B A B1 B2 Total A1 30 20 50 A2 30 20 50 Total 60 40 100

Are the two variables associated in this sample?

  • A

    Yes - the marginal distribution of A differs from the marginal of B

  • B

    Cannot be determined

  • C

    Yes - because the cells contain different counts

  • D

    No - the conditional distributions of B given A are identical

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Explanation

P(B1|A1) = 30/50 = 0.6 = P(B1|A2) = 30/50, so conditional distributions match. No association in this sample.

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