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 2073 riders not wearing a helmet. Complete parts (a) and (b) below. (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use a = 0.10 level of significance. What are the null and alternative hypotheses? OA. Ho: 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. OB. Ho: 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. OC. None of these. Compute the expected counts for each fatal injury. Observed Count Location of injury Multiple Locations 1039 867 35 85 47 Head Neck Thorax Abdomen/Lumbar/Spine (Round to two decimal places as needed.) What is the P-value of the test? Expected Count P-value = (Round to three decimal places as needed.) Based on the results, does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all other riders at a significance level of a = 0.10? A. Reject Ho. There is not sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet follows the distribution for all riders. OB. Do not reject Ho. There is not sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet does not follow the distribution for all riders. OC. Do not reject Ho. There is sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet follows the distribution for all riders. OD. Reject Ho. There is sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet does not follow the distribution for all riders. mpare the observed and expected counts for each category. What does this information tell you? Head Proportion of fatalities by location of injury for motorcycle accidents Abdomen/ Multiple Neck Lumbar/ locations Spine 0.570 0.030 Location of injury and fatalities for 2073 riders not wearing a helmet Multiple Neck Thorax locations Thorax 0.030 0.060 1039 Motorcycle fatalities from thorax injuries occur more frequently for riders not wearing a helmet. Motorcycle fatalities from head injuries occur more frequently for riders not wearing a helmet. Motorcycle fatalities from head injuries occur less frequently for riders not wearing a helmet. Location of injury Proportion Location of injury Number 0.310 Head 867 35 85 Full data set D Abdomen/ Lumbar/ Spine 47

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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 2073 riders not wearing a helmet. Complete parts (a) and (b) below.
(a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use α = 0.10 level of significance. What are the null and alternative hypotheses?
A. Ho: 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.
B. Ho: 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.
OC. None of these.
Compute the expected counts for each fatal injury.
Observed Count
Location of injury
Multiple Locations
1039
867
35
85
47
Head
Neck
Thorax
Abdomen/Lumbar/Spine
(Round to two decimal places as needed.)
What is the P-value of the test?
Expected Count
P-value =
(Round to three decimal places as needed.)
Based on the results, does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all other riders at a significance level of a = 0.10?
A. Reject Ho. There is not sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet follows the distribution for all riders.
B. Do not reject Ho. There is not sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet does not follow the distribution for all riders.
C. Do not reject Ho. There is sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet follows the distribution for all riders.
D. Reject Ho. There is sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet does not follow the distribution for all riders.
Proportion of fatalities by location of injury for motorcycle accidents
Abdomen/
Multiple
Lumbar/
locations
Spine
0.570
0.030
(b) Compare the observed and expected counts for each category. What does this information tell you?
O A. Motorcycle fatalities from thorax injuries occur more frequently for riders not wearing a helmet.
B. Motorcycle fatalities from head injuries occur more frequently for riders not wearing a helmet.
C. Motorcycle fatalities from head injuries occur less frequently for riders not wearing a helmet.
Location of
injury
Proportion
Head
Location of
injury
Number
0.310
Head
Neck
867
0.030
Location of injury and fatalities for 2073 riders not wearing a helmet
Multiple
locations
1039
Thorax
0.060
Neck
35
Thorax
85
Full data set
Abdomen/
Lumbar/
Spine
47
Transcribed Image Text: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 2073 riders not wearing a helmet. Complete parts (a) and (b) below. (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use α = 0.10 level of significance. What are the null and alternative hypotheses? A. Ho: 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. B. Ho: 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. OC. None of these. Compute the expected counts for each fatal injury. Observed Count Location of injury Multiple Locations 1039 867 35 85 47 Head Neck Thorax Abdomen/Lumbar/Spine (Round to two decimal places as needed.) What is the P-value of the test? Expected Count P-value = (Round to three decimal places as needed.) Based on the results, does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all other riders at a significance level of a = 0.10? A. Reject Ho. There is not sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet follows the distribution for all riders. B. Do not reject Ho. There is not sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet does not follow the distribution for all riders. C. Do not reject Ho. There is sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet follows the distribution for all riders. D. Reject Ho. There is sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet does not follow the distribution for all riders. Proportion of fatalities by location of injury for motorcycle accidents Abdomen/ Multiple Lumbar/ locations Spine 0.570 0.030 (b) Compare the observed and expected counts for each category. What does this information tell you? O A. Motorcycle fatalities from thorax injuries occur more frequently for riders not wearing a helmet. B. Motorcycle fatalities from head injuries occur more frequently for riders not wearing a helmet. C. Motorcycle fatalities from head injuries occur less frequently for riders not wearing a helmet. Location of injury Proportion Head Location of injury Number 0.310 Head Neck 867 0.030 Location of injury and fatalities for 2073 riders not wearing a helmet Multiple locations 1039 Thorax 0.060 Neck 35 Thorax 85 Full data set Abdomen/ Lumbar/ Spine 47
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