A traffic safety company publishes reports about motorcycle fatalities and helme

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 2064 riders not wearing a helmet. Complete parts (a) and (b) below. LOADING... Click the icon to view the tables. (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use alpha equals0.01 level of significance. What are the null and alternative hypotheses? A. H0: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. H1: The distribution of fatal injuries for riders not wearing a helmet does follow the same distribution for all other riders. B. H0: The distribution of fatal injuries for riders not wearing a helmet follows the same distribution for all other riders. H1: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. Your answer is correct. C. None of these. Compute the expected counts for each fatal injury. Location of injury Observed Count Expected Count Multiple Locations 1037 nothing Head 861 nothing Neck 35 nothing Thorax 82 nothing Abdomen/Lumbar/Spine 49 nothing (Round to two decimal places as needed.)Full data set Proportion of fatalities by location of injury for motorcycle accidents Location of injury Multiple locations Head Neck Thorax Abdomen/ Lumbar/ Spine Proportion 0.570 0.310 0.030 0.060 0.030 Location of injury and fatalities for 2064 riders not wearing a helmet Location of injury Multiple locations Head Neck Thorax Abdomen/ Lumbar/ Spine Number 1037 861 35 82 49

Explanation / Answer

Solution:

We are given that : 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 2064 riders not wearing a helmet.

   Part a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use alpha equals0.01 level of significance. What are the null and alternative hypotheses?

Option B.

H0: The distribution of fatal injuries for riders not wearing a helmet follows the same distribution for all other riders.

Vs

H1: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders

Part b) Compute the expected counts for each fatal injury.

To find Expected counts we multiply Expected proportions by Total = 2064

Location of injury Observed Count Expected proportions Expected counts Multiple Locations 1037 0.570 2064X0.570=1176.48 Head 861 0.310 2064X0.310 = 639.84 Neck 35 0.030 2064X0.030 =   61.92 Thorax 82 0.060 2064X0.060=   123.84 Abdomen/ Lumbar/ Spine Number 49 0.030 2064X0.030=    61.92 N= 2064

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