Setting Up a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 3/5

A 2x4 two-way table has expected counts 8, 7, 4, 6, 12, 10, 6, 9.

Expected Counts (2x4) C1 C2 C3 C4 8 7 4 6 12 10 6 9

Is the large counts condition met?

  • A

    Yes, no expected counts are zero

  • B

    Yes, all observed counts >= 5

  • C

    Yes, since most counts are >= 10

  • D

    No, expected count of 4 is below 5

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Explanation

All expected counts must be >= 5. The cell with expected count 4 violates this condition.

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