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 2062 riders not wearing a helmet. Complete parts (a) and (b) below. E 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 a = 0.01 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. H,: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. O Distribution of fatalities by location of injury B. Ho: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. H,: The distribution of fatal injuries for riders not wearing a helmet does follow the same distribution for all other riders. Proportion of fatalities by location of injury for motorcycle accidents Abdomen/ Lumbar/ O C. None of these. Location of Full data set Multiple locations Compute the expected counts for each fatal injury. Head Neck Thorax injury Spine Location of injury Multiple Locations Expected Count Observed Count Proportion 0.570 0.310 0.030 0.060 0.030 1026 872 Location of injury and fatalities for 2062 riders not wearing a helmet Head Abdomen/ Neck 32 Multiple locations Location of Head Neck Thorax Lumbar/ Thorax 85 injury Spine Abdomen/Lumbar/Spine Number 47 1026 872 32 85 47 (Round to two decimal places as needed.) What is the P-value of the test? Print Done P-value =(Round to three decimal places as needed.) %3D 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 = 0.01? 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. O B. 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. OC. 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. O 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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 3BGP
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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 2062 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 a = 0.01 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.
H,: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders.
Distribution of fatalities by location of injury
O B. Ho: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders.
H,: The distribution of fatal injuries for riders not wearing a helmet does follow the same distribution for all other riders.
O C. None of these.
Proportion of fatalities by location of injury for motorcycle accidents
Abdomen/
Location of
Multiple
Full data set
Head
Neck
Thorax
Lumbar/
ITT
Compute the expected counts for each fatal injury.
injury
locations
Spine
Location of injury
Multiple Locations
Observed Count
Expected Count
Proportion
0.570
0.310
0.030
0.060
0.030
1026
Head
872
Location of injury and fatalities for 2062 riders not wearing a helmet
Neck
32
Abdomen/
Location of
Multiple
Head
Neck
Thorax
Lumbar/
Thorax
85
injury
locations
Spine
Abdomen/Lumbar/Spine
47
Number
1026
872
32
85
47
(Round to two decimal places as needed.)
What is the P-value of the test?
Print
Done
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 = 0.01?
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. 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.
O C. 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.
O 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.
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 2062 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 a = 0.01 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. H,: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. Distribution of fatalities by location of injury O B. Ho: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. H,: The distribution of fatal injuries for riders not wearing a helmet does follow the same distribution for all other riders. O C. None of these. Proportion of fatalities by location of injury for motorcycle accidents Abdomen/ Location of Multiple Full data set Head Neck Thorax Lumbar/ ITT Compute the expected counts for each fatal injury. injury locations Spine Location of injury Multiple Locations Observed Count Expected Count Proportion 0.570 0.310 0.030 0.060 0.030 1026 Head 872 Location of injury and fatalities for 2062 riders not wearing a helmet Neck 32 Abdomen/ Location of Multiple Head Neck Thorax Lumbar/ Thorax 85 injury locations Spine Abdomen/Lumbar/Spine 47 Number 1026 872 32 85 47 (Round to two decimal places as needed.) What is the P-value of the test? Print Done 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 = 0.01? 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. 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. O C. 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. O 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.
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