Setting Up a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 2/5

Researchers conduct a chi-square test of independence. They confirm a random sample, observations are independent, and all expected counts are 12.

Conditions Checklist Random sample: Yes Independence: Yes Expected counts >= 5: Yes All expected = 12

Are conditions met?

  • A

    No, randomness is irrelevant

  • B

    Yes, all three conditions are met

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  • C

    No, large counts requires E>=10

  • D

    No, expected counts must equal observed

Explanation

Random, independent, and large counts (E >= 5) are all satisfied; conditions for chi-square inference are met.

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