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 2061 riders not wearing a helmet. Complete parts (a) and (b) below. 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 α = 0.05 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 1030 868 37 81 45 Head Neck Thorax Abdomen/Lumbar/Spine (Round to two decimal places as needed.) What is the P-value of the test? Expected Count C P-value= (Round to three decimal places as needed.) Screen Shot 2023-... Distribution of fatalities by location of injury Location of injury Proportion Proportion of fatalities by location of injury for motorcycle accidents Abdomen/ Lumbar/ Head Spine 0.030 Multiple locations 0.570 Location of injury and fatalities for 2061 riders not wearing a helmet Location of injury Number Multiple locations 1030 0.310 Head 868 Neck ₁ 0.030 Thorax 0.060 Neck 37 Thorax 81 Full data set D Abdomen/ Lumbar/ Spine 45 Q

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.1: Measures Of Center
Problem 3BGP
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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 α = 0.05?
A. 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.
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. 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.
D. 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) Compare the observed and expected counts for each category. What does this information tell you?
O A. Motorcycle fatalities from head injuries occur less 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 thorax injuries occur more frequently for riders not wearing a helmet.
Transcribed Image Text: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 α = 0.05? A. 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. 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. 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. D. 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) Compare the observed and expected counts for each category. What does this information tell you? O A. Motorcycle fatalities from head injuries occur less 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 thorax injuries occur more frequently for riders not wearing a helmet.
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 2061 riders not wearing a helmet. Complete parts (a) and (b) below.
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 α = 0.05 level of significance. What are the null and alternative hypotheses?
O 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.
C. None of these.
Compute the expected counts for each fatal injury.
Location of injury
Multiple Locations
Observed Count
1030
868
37
81
45
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.)
Screen Shot 2023-... Ⓡ
Distribution of fatalities by location of injury
Location of
injury
Proportion
Proportion of fatalities by location of injury for motorcycle accidents
Abdomen/
Multiple
Lumbar/
locations
0.570
Spine
0.030
Head
Location of
injury
Number
0.310
Head
Neck
868
0.030
M
Location of injury and fatalities for 2061 riders not wearing a helmet
Multiple
locations
1030
Thorax
0.060
Neck
37
Thorax
81
I
Full data set
Abdomen/
Lumbar/
Spine
45
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 2061 riders not wearing a helmet. Complete parts (a) and (b) below. 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 α = 0.05 level of significance. What are the null and alternative hypotheses? O 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. C. None of these. Compute the expected counts for each fatal injury. Location of injury Multiple Locations Observed Count 1030 868 37 81 45 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.) Screen Shot 2023-... Ⓡ Distribution of fatalities by location of injury Location of injury Proportion Proportion of fatalities by location of injury for motorcycle accidents Abdomen/ Multiple Lumbar/ locations 0.570 Spine 0.030 Head Location of injury Number 0.310 Head Neck 868 0.030 M Location of injury and fatalities for 2061 riders not wearing a helmet Multiple locations 1030 Thorax 0.060 Neck 37 Thorax 81 I Full data set Abdomen/ Lumbar/ Spine 45
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