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Setting Up a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 4/5

A chi-square test of independence is conducted on a 2x2 table.

2x2 Table Yes No A B a b c d

Which equivalent test gives the same p-value (for two-sided)?

  • A

    Two-sample t-test

  • B

    Two-proportion z-test (squared = chi-square)

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  • C

    ANOVA

  • D

    One-proportion z-test

Explanation

For a 2x2 table, chi-square = z^2 from a two-proportion z-test, and p-values match for the two-sided test.

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