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 in and fatalities for 2083 riders not wearing a helmet. Complete parts (a) and (b) below. Click the icon to view the tables. X Distribution of fatalities by location of injury (a) Does the distribution of fatal injuries for riders not wearing a helmet follow the distribution for all riders? Use a = 0.05 level of si OA. 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. B. 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. OC. None of these. Proportion of fatalities by location of injury for motorcycle accidents Abdomen/ Location of Multiple Full data set Head Neck Thorax Lumbar/ injury locations Spine Proportion 0.570 0.310 0.030 0.060 D 0.030 Location of injury and fatalities for 2083 riders not wearing a helmet Location of injury Number Multiple locations 1050 Head 863 Neck 36 Thorax 87 Compute the expected counts for each fatal injury. Location of injury Observed Count Expected Count 1187.31 Multiple Locations 1050 Head 863 645.73 Neck 36 62.49 Thorax 87 124.98 Abdomen/Lumbar/Spine 47 62.49 (Round to two decimal places as needed.) Print Done Abdomen/ Lumbar/ Spine 47

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How would you solve for expected counts in here? Thank you

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 2083 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 = 0.05 level of significance.

- \(H_0\): The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders.
- \(H_1\): The distribution of fatal injuries for riders not wearing a helmet does follow the same distribution for all other riders.


- **Correct Answer: \(B\)**
  - 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.

### Compute the expected counts for each fatal injury:

| Location of injury       | Observed Count | Expected Count |
|--------------------------|----------------|----------------|
| Multiple Locations       | 1050           |  1187.31       |
| Head                     | 863            |  645.73        |
| Neck                     | 36             |  62.49         |
| Thorax                   | 87             |  124.98        |
| Abdomen/Lumbar/Spine     | 47             |  62.49         |

*(Round to two decimal places as needed.)*

### What is the P-value of the test?

- **P-value = 0.000** *(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 α = 0.05?

- \(A.\) Reject $H_0$. There is not sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet follows the distribution for all riders.
- \(\mathbf{B.\) Do not reject \(H_0. There\) is not sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet does not follow the distribution for all riders.}\)
- \(C.\)
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 2083 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 = 0.05 level of significance. - \(H_0\): The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. - \(H_1\): The distribution of fatal injuries for riders not wearing a helmet does follow the same distribution for all other riders. - **Correct Answer: \(B\)** - 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. ### Compute the expected counts for each fatal injury: | Location of injury | Observed Count | Expected Count | |--------------------------|----------------|----------------| | Multiple Locations | 1050 | 1187.31 | | Head | 863 | 645.73 | | Neck | 36 | 62.49 | | Thorax | 87 | 124.98 | | Abdomen/Lumbar/Spine | 47 | 62.49 | *(Round to two decimal places as needed.)* ### What is the P-value of the test? - **P-value = 0.000** *(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 α = 0.05? - \(A.\) Reject $H_0$. There is not sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet follows the distribution for all riders. - \(\mathbf{B.\) Do not reject \(H_0. There\) is not sufficient evidence that the distribution of fatal injuries for riders not wearing a helmet does not follow the distribution for all riders.}\) - \(C.\)
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