A traffic safety company publishes reports about motorcycle fatalities and helme
ID: 3052396 • Letter: A
Question
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 2071 riders not wearing a helmet. Complete parts (a) and (b) below. LOADING... 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 alpha equals0.05 level of significance. What are the null and alternative hypotheses? A. H0: 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. 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. Your answer is correct. C. None of these. Compute the expected counts for each fatal injury. Location of injury Observed Count Expected Count Multiple Locations 1039 nothing Head 863 nothing Neck 35 nothing Thorax 88 nothing Abdomen/Lumbar/Spine 46 nothing Proportion of fatalities by location of injury for motorcycle accidents Location of injury Multiple locations Head Neck Thorax Abdomen/ Lumbar/ Spine Proportion 0.570 0.310 0.030 0.060 0.030 Location of injury and fatalities for 2071 riders not wearing a helmet Location of injury Multiple locations Head Neck Thorax Abdomen/ Lumbar/ Spine Number 1039 863 35 88 46
Explanation / Answer
Result:
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 2071 riders not wearing a helmet. Complete parts (a) and (b) below. LOADING... 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 alpha equals0.05 level of significance. What are the null and alternative hypotheses
Answer:
H1: The distribution of fatal injuries for riders not wearing a helmet does not follow the same distribution for all other riders. Your answer is correct.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
1039
1180.470
-141.470
16.954
863
642.010
220.990
76.068
35
62.130
-27.130
11.847
88
124.260
-36.260
10.581
46
62.130
-16.130
4.188
Total
2071
2071.000
119.638
119.638
chi-square
4
df
0.0000
p-value
Calculated chi square = 119.638
Critical chi square at 0.05 level = 7.815
Calculated chi square = 119.638 > critical chi square 7.815.
Ho is rejected.
Goodness of Fit Test
observed
expected
O - E
(O - E)² / E
1039
1180.470
-141.470
16.954
863
642.010
220.990
76.068
35
62.130
-27.130
11.847
88
124.260
-36.260
10.581
46
62.130
-16.130
4.188
Total
2071
2071.000
119.638
119.638
chi-square
4
df
0.0000
p-value
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