Among drivers who have had a car crash in the last year, 270 were randomly selec

ID: 3228237 • Letter: A

Question

Among drivers who have had a car crash in the last year, 270 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 0.05 significance level, test the claim that the distribution of crashes conforms to the distribution of ages. The test statistic is chi^2 = The critical value is chi^2 = The conclusion is A. There is not sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distribution of ages. B. There is sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distribution of ages.

Explanation / Answer

Answer:

Goodness of Fit Test

observed

expected

O - E

(O - E)² / E

106

43.200

62.800

91.293

118.800

-49.800

20.876

72.900

-33.900

15.764

35.100

20.900

12.445

Total

270

270.000

140.377

chi-square

0.0000

p-value

Test statistic =140.377

Critical value = 7.815

B. There is sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distribution of ages.