Carrying Out a Chi-Square Test for Homogeneity or Independence

AP Statistics· difficulty 2/5

A chi-square test of independence yields chi-square = 9.21 with 4 degrees of freedom.

Chi-Square Distribution, df=4 9.21 p-value

Which best describes the p-value?

  • A

    P(chi-square >= 9.21 | df=4)

    check_circle
  • B

    P(chi-square <= 9.21 | df=4)

  • C

    P(chi-square = 9.21 | df=4)

  • D

    P(chi-square > 9.21 | df=5)

Explanation

The p-value for a chi-square test is the probability of observing a chi-square statistic at least as extreme (i.e., as large or larger) as the observed value, under the null hypothesis.

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