A traffic safety company publishes reports about motorcyclefatalities and helmet use. In the first accompanying data​ table,the distribution shows the proportion of fatalities by location ofinjury for motorcycle accidents. The second data table shows thelocation of injury and fatalities for 2068 riders not wearing ahelmet.
Location of Injury  Probability  Frequency
Multiple Locations  0.570  1027
Head  0.310  869
Neck  0.030  40
Thorax  0.060  83
Abdomen/Lumbar/Spine  0.030  49
​(a) Does the distribution of fatal injuriesfor riders not wearing a helmet follow the distribution for all​riders? Use
alphaαequals=0.050.05
level of significance. What are the null and alternative​hypotheses?
A.
H0​: The distribution of fatal injuries for riders not wearing ahelmet does not follow the same distribution for all otherriders.
H1​: The distribution of fatal injuries for riders not wearing ahelmet does follow the same distribution for all other riders.
B.
H0​: The distribution of fatal injuries for riders notwearing a helmet follows the same distribution for all otherriders.
H1​: The distribution of fatal injuriesfor riders not wearing a helmet does not follow the samedistribution for all other riders. Your answer iscorrect.
C.
None of these.
Compute the expected counts for each fatal injury.
Location of injury | Observed Count | Expected Count |
|---|
Multiple Locations | 1027 | __?__ |
Head | 869 | __?__ |
Neck | 40 | __?__ |
Thorax | 83 | __?__ |
​Abdomen/Lumbar/Spine | 49 | __?__ |
​(Round to two decimal places as​ needed.)
