Carrying Out a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 3/5

A chi-square test of homogeneity comparing snack preference among three age groups produced p = 0.003.

Test Result chi-sq p-value = 0.003

Which is the appropriate conclusion?

  • A

    Fail to reject H0

  • B

    There is no association

  • C

    Snack and age are independent

  • D

    Reject H0; significant evidence the snack preference distributions differ across age groups

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Explanation

Since p = 0.003 < 0.05, reject H0. There is significant evidence the distribution of snack preferences differs across the age groups.

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