Setting Up a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 2/5

Researchers take separate random samples of 100 men and 100 women, asking each their preference among three brands (A, B, C). They want to determine if preference distributions are the same for men and women.

Brand Preference by Sex A B C Men Women 42 35 23 28 40 32

Which test is appropriate?

  • A

    Two-sample t-test

  • B

    Chi-square test of independence

  • C

    Chi-square goodness-of-fit

  • D

    Chi-square test of homogeneity

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Explanation

Two separate samples (men, women) are compared on a single categorical variable (brand). This is a chi-square test of homogeneity.

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