### Analysis of Motorcycle Fatalities and Helmet Use A traffic safety company publishes reports about motorcycle fatalities and helmet use. The study analyzes the distribution of fatalities by the location of injury for motorcyclists who do not wear helmets. The data comprises 2062 riders and is summarized in the tables and graphs below. #### Part (a): Hypothesis TestingThe report examines whether the distribution of fatal injuries for riders not wearing a helmet follows the distribution for all riders. The level of significance used for the test is α = 0.01. The null (H₀) and alternative (H₁) hypotheses are as follows:- **Null Hypothesis (H₀)**: The distribution of fatal injuries for riders not wearing a helmet follows the same distribution for all other riders.- **Alternative Hypothesis (H₁)**: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders.#### Expected Counts CalculationThe observed and expected counts for each fatal injury location are calculated based on the distribution proportions provided in the dataset.1. Multiple Locations: - Observed Count: 1026 - Expected Count: Calculated based on the overall proportions.2. Head: - Observed Count: 872 - Expected Count: Calculated based on the overall proportions.3. Neck: - Observed Count: 32 - Expected Count: Calculated based on the overall proportions.4. Thorax: - Observed Count: 85 - Expected Count: Calculated based on the overall proportions.5. Abdomen/Lumbar/Spine: - Observed Count: 47 - Expected Count: Calculated based on the overall proportions._Round the expected counts to two decimal places as needed._#### P-Value CalculationDetermine the P-value for the Chi-Square test using the expected and observed counts.- **P-value =** [To be calculated] _(Round to three decimal places as needed)_#### Test ConclusionBased on the results, determine whether to reject the null hypothesis at a significance level of α = 0.01.- **A.** Do not reject H₀. There is sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet follows the distribution for all riders. - **B.** Reject H₀. There is not sufficient evidence that the distribution of fatal

Name: ### Analysis of Motorcycle Fatalities and Helmet Use A traffic safety
Uploaded: 2024-03-20T07:06:16.000Z
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Description: ### Analysis of Motorcycle Fatalities and Helmet Use A traffic safety company publishes reports about motorcycle fatalities and helmet use. The study analyzes the distribution of fatalities by the location of injury for motorcyclists who do not wear

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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. 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.