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4 November, 09:19

A random sample of 160 car crashes are selected and categorized by age. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65. Calculate the chi-square test statistic

χ to test the claim that all ages have crash rates proportional to their driving rates.

1. Under 26 = 66 drivers

2. 26-45 = 39 drivers

3. 46-65 = 25 drivers

4. Over 65 = 30 drivers

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Answers (1)
  1. 4 November, 09:30
    0
    25.05

    Step-by-step explanation:

    Given that a random sample of 160 car crashes are selected and categorized by age. The results are listed below. The age distribution of drivers for the given categories is 18% for the under 26 group, 39% for the 26-45 group, 31% for the 45-65 group, and 12% for the group over 65.

    65

    Observed O 66 39 25 30 160

    Expected E 40 40 40 40 160

    Chi square

    (O-E) ^2/E 16.9 0.025 5.625 2.5 25.05

    Thus we get chi square test statistic = 25.05
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