Setting Up a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 2/5

A single random sample of 400 college students is asked their political affiliation (D/R/I) and whether they support a tuition increase (Yes/No). The researcher wants to determine if affiliation and opinion are related.

Two-Way Table: Party x Opinion D R I Yes No 90 40 50 60 110 50

Which test is appropriate?

  • A

    Matched pairs t-test

  • B

    Chi-square test of independence

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  • C

    Chi-square goodness-of-fit

  • D

    Chi-square test of homogeneity

Explanation

One sample with two categorical variables observed on each individual indicates a chi-square test of independence.

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