Question

(2 points) Among drivers who have had a car crash in the last year, 110 were randomly selected and categorized by age, with the results listed in the table below Age Under 25 25-44 45-64 Over 64 Drivers 43 26 16 25 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 0.05 significance level, test the claim that the distribution of crashes conforms to the distribution of ages. The test statistic is x = The conclusion is A. There is sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibuion of ages. B. There is not sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distibuion of ages

Answer 1

The statistical software output for this problem is:

Chi-Square goodness-of-fit results: Observed: Oi Expected: Ei N DF Chi-Square P-value 110 3 61.349583 <0.0001

Hence,

Test statistic is $\chi^2$ = 61.3496

Conclusion: Option A is correct.