Among drivers who have had a car crash in the last year, 130were randomly selected and categorized by age, with the resultslisted in the table below. Age Under 25 25-44 45-64 Over 64Drivers
Age | Under 25 | 25-44 | 45-64 | Over 64 |
Drivers | 52 | 31 | 17 | 30 |
If all ages have the same crash rate, we would expect (becauseof the age distribution of licensed drivers) the given categoriesto have 16%, 44%, 27%, 13% of the subjects, respectively. At the0.025 significance level, test the claim that the distribution ofcrashes conforms to the distribution of ages
The test statistic is
χ2=
The p-value is
The conclusion is A. There is sufficient evidence to warrant therejection of the claim that the distribution of crashes conforms tothe distibuion of ages.
B. There is not sufficient evidence to warrant the rejection ofthe claim that the distribution of crashes conforms to thedistibuion of ages.