Carrying Out a Chi-Square Test for Goodness of Fit

AP Statistics· difficulty 2/5

A chi-square goodness-of-fit on a six-category variable returns chi-square = 11.2 and p = 0.048.

GOF Output chi-square = 11.2 df = 5 p = 0.048

At alpha = 0.05, what conclusion?

  • A

    Reject H0; data inconsistent with claimed distribution

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  • B

    Fail to reject H0

  • C

    Reject H0; data fit the distribution

  • D

    Accept H0

Explanation

Since p = 0.048 < 0.05, reject H0. There is evidence the observed counts are inconsistent with the hypothesized distribution.

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