Among drivers who have had a car crash in the last year, 130 were randomly selec

Question

Among drivers who have had a car crash in the last year, 130 were randomly selected and categorized by age, with the results listed in the table below.

If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects, respectively. At the 0.025 significance level, test the claim that the distribution of crashes conforms to the distribution of ages.
The test statistic is 2=

Age Under 2525-44 45-64 Over 64 Drivers52 29 20 29

Explanation / Answer

for above applying chi square goodness of fit test:

from above  test statistic is 2= 75.862

observed Expected Chi square flavour Probability O E=total*p =(O-E)^2/E under 25 0.160 52.000 20.80 46.80 25-44 0.440 29.000 57.20 13.90 45-64 0.270 20.000 35.10 6.50 over 64 0.130 29.000 16.90 8.66 1 130 130 75.8621

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