Setting Up a Chi-Square Goodness of Fit Test

AP Statistics· difficulty 2/5

A bag of M&Ms claims the color distribution is 24% blue, 20% orange, 16% green, 14% yellow, 13% red, 13% brown. A student samples 200 candies and records the counts.

Observed M&M Counts (n=200) Blue Orange Green Yellow Red Brown 52 38 28 30 26 26

Which test is most appropriate?

  • A

    Chi-square goodness-of-fit test

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  • B

    Two-sample z-test for proportions

  • C

    Chi-square test of homogeneity

  • D

    Chi-square test of independence

Explanation

A single categorical variable (color) is being compared to a claimed/hypothesized distribution from one sample. This is the chi-square goodness-of-fit test.

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