The same study which examined roadside accidents in Illinois involving police vehicles (Kethineni, Falcone, & Charles 1992) also examined accidents involving other types of vehicles. For small cars, the researchers collected data about the time of day that 3626 accidents occurred. The frequency counts for small car accidents by time of day were as follows:

Pre-Dawn 472

Morning 660

Afternoon 830

Evening 933

Late Night 731

Use this data to perform a Chi-Square test to test the claim that the frequency of small car accidents in Illinois significantly differs depending on the time of day.

a. Provide the null and alternative hypotheses for testing the claim that the frequency of small car accidents in Illinois significantly differs depending on the time of day.

b. What should the expected count be for each time of day (if Ho is true)?

c. Use the formula we learned in 7.1 to calculate the Chi-Square statistic.

d. Use a Chi-Square distribution with the appropriate degrees of freedom to find the p-value for the Chi-Square statistic. Provide df and p-value.

e. Rule on Ho (use = .05) and interpret the results of the test in the context of the question.