Setting Up a Chi-Square Goodness of Fit Test

AP Statistics· difficulty 2/5

Hypothesized distribution: 40% A, 30% B, 20% C, 10% D. Sample size n = 250.

Expected Counts A (0.40) B (0.30) C (0.20) D (0.10) ? ? ? ?

What are the expected counts?

  • A

    125, 75, 25, 25

  • B

    62.5, 62.5, 62.5, 62.5

  • C

    100, 75, 50, 25

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  • D

    40, 30, 20, 10

Explanation

E_i = n × p_i. So 250×0.40=100, 250×0.30=75, 250×0.20=50, 250×0.10=25.

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