Setting Up a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 3/5

Researchers sample 200 from California, 200 from Texas, and 200 from New York to compare their support across four political stances.

3 States × 4 Stances A B C D CA TX NY

Which test should be used and what are df?

  • A

    Independence, df=12

  • B

    Homogeneity, df=6

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  • C

    Goodness-of-fit, df=11

  • D

    Independence, df=6

Explanation

Three separate population samples and one categorical variable: chi-square test of homogeneity. df = (3-1)(4-1) = 6.

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