Question

A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying data​ table, the distribution shows the proportion of fatalities by location of injury for motorcycle accidents. The second data table shows the location of injury and fatalities for 2083 riders not wearing a helmet. Using the data below, complete parts ​(a) and ​(b).

Location of Injury	Probability	Frequency
Multiple Locations	0.57	1044
Head	0.31	877
Neck	0.03	32
Thorax	0.06	81
Abdomen/Lumbar/Spine	0.03	49

(a)  Compute the expected counts for each fatal injury.

Location of injury	Observed Count	Expected Count
Multiple Locations	1044	?
Head	877	?
Neck	32	?
Thorax	81	?
​Abdomen/Lumbar/Spine	49	?

​(Round to two decimal places as​ needed.)

(b) Determine the P-value of the test. (round to three decimal places as needed)

Answer 1

Using Minitab software, (Stat -> Tables -> Chi square goodness-of fit Test), we get the following output :

Now,

The value of chi square statistic = 133.393

and P-value = 0