Setting Up a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 2/5

A researcher tests whether eye color and dominant hand are independent in a single random sample.

Eye Color vs Hand Right Left Brown Blue 88 12 71 9

Which is the correct null hypothesis?

  • A

    Distributions of hand are the same across eye colors

  • B

    There is an association

  • C

    Eye color and hand are independent

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  • D

    All eye colors are equally likely

Explanation

For a chi-square test of independence with one sample, H0 states the two variables are independent (no association).

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