In: Statistics and Probability
Among drivers who have had a car crash in the last year, 160160 were randomly selected and categorized by age. The results are listed in the table below.
Age | Under 25 | 25-44 | 45-64 | Over 64 |
Drivers | 62 | 42 | 21 | 35 |
If all age groups have the same crash rate, we would expect (due
to the age distribution of licensed drivers) the given age groups
to have 16%, 44% ,27%, and 13%1of the crashes, respectively. At the
0.025 significance level, test the claim that the age distribution
of crashes conforms to the age distribution of licensed
drivers.
(a) Find the rejection region.
Reject H0 if χ2>
(b) Find the test statistic. (Round your final answer to 2 decimal
places.)
χ2 =
(c) Do these data provide significant evidence that the age
distribution of crashes does not conform to the age distribution of
licensed drivers? (Type: Yes or
No )