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Carrying Out a Chi-Square Test for Goodness of Fit

AP Statistics· difficulty 3/5

Observed counts: 90, 70, 40. Expected counts: 100, 60, 40.

Component Calculation Cat O E A B C 90 70 40 100 60 40

What is the chi-square test statistic?

  • A

    1.67

  • B

    3.50

  • C

    2.67

    check_circle
  • D

    4.00

Explanation

Chi-square = (90-100)^2/100 + (70-60)^2/60 + (40-40)^2/40 = 1.00 + 1.667 + 0 = 2.67.

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