13.26 Road Rage. The report Controlling Road Rage: A Literature Review and Pilot

Question

13.26 Road Rage. The report Controlling Road Rage: A Literature Review and Pilot Study was prepared for the AAA Foundation for Traffic Safety by D. Rathbone and J. Huckabee. The authors dis- cussed the results of a literature review and pilot study on how to pre- vent aggressive driving and road rage. Road rage is defined as"...an ident in which an angry or impatient motorist or passenger inten- tionally injures or kills another motorist, passenger, or pedestrian, or attempts or threatens to injure or kill another motorist, passenger, or pedestrian." One aspect of the study was to investigate road rage as a function of the day of the week. The following table provides a frequency distribution for the days on which 69 road-rage incidents occurred. inc Day Frequency Sunday Monday Tuesday Wednesday12 Thursday Friday Saturday 18 At the 5% significance level, do the data provide sufficient evidence to conclude that road-rage incidents are more likely to occur on some days than on others?

Explanation / Answer

H0: There is sufficieint evidence that road - rage incidents are not more likely to occur on some days than on others

H1: There is sufficieint evidence that road - rage incidents are more likely to occur on some days than on others

Let the los be alpha = 5%

Num Categories: 7
Degrees of freedom: 6
Expected Freq: 9.857143

Test Statistic, X^2: 13.0725
Critical X^2: 12.59157
P-Value: 0.0419

Here P-value < alphla 0.05, so we reject H0

Thus we conclude that  There is sufficieint evidence that road - rage incidents are more likely to occur on some days than on others

Observed Expected Day freq (Oi) (Ei) (Oi-Ei)^2/Ei Sunday 5 9.85714286 2.393374741 Monday 5 9.85714286 2.393374741 Tuesday 11 9.85714286 0.132505176 Wednesday 12 9.85714286 0.465838509 Thursday 11 9.85714286 0.132505176 Friday 18 9.85714286 6.726708075 Saturday 7 9.85714286 0.82815735 Total := 69 13.07246377

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