Setting Up a Chi-Square Goodness of Fit Test

AP Statistics· difficulty 2/5

A psychologist claims that 50% of dreams are pleasant, 30% neutral, 20% unpleasant. Out of 200 reported dreams, 90 were pleasant, 70 neutral, 40 unpleasant.

Dream Type Counts Type Observed Expected Pleasant Neutral Unpleasant 90 70 40 100 60 40

What is the appropriate alternative hypothesis?

  • A

    The proportions are independent

  • B

    p_pleasant > 0.50

  • C

    All proportions equal 1/3

  • D

    At least one proportion differs from the claimed distribution

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Explanation

For a goodness-of-fit test, Ha states that at least one proportion differs from the values specified by H0.

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