The National Highway Traffic Safety Administration publishes reports about motorcycle fatalities and helmet use. The distribution shows the proportion of fatalities by location of injury for motorcycle accidents.

The following data show the location of injury and number of fatalities for 2068 riders not wearing a helmet.

(a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use the α = 0.05 level of significance.
(b) Compare the observed and expected counts for each category. What does this information tell you?

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Multiple Locations 0.57 Location of injury Proportion Abdomen/ Thorax Lumbar/Spine Нead Neck 0.03 0.03 0.31 0.06 Multiple Locations Location of injury Abdomen/ Thorax Lumbar/Spine Head Neck Number 1036 38 83 47 864