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A traffic safety company publishes reports about motorcycle fatalities and helme

ID: 3324737 • Letter: A

Question

A traffic safety company publishes reports about motorcycle fatalities and helmet use. In the first accompanying datatable, 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 2074 riders not wearing a helmet. Complete parts (a) and (b) below.

  

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

Multiple locations

Head

Neck

Thorax

Abdomen/ Lumbar/ Spine

Number

1032

870

38

84

50

Compute the expected counts for each fatal injury.

Location of injury

Observed Count

Expected Count

Multiple Locations

1032

nothing

Head

870

nothing

Neck

38

nothing

Thorax

84

nothing

Abdomen/Lumbar/Spine

50

nothing

(Round to two decimal places as needed.)

Full data set

  

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

Explanation / Answer

for expected count is =total frequency*probability

hence

Location of injury proportion Observed Count Expected Count=p*2074 Multiple Locations 0.57 1032 1182.18 Head 0.31 870 642.94 Neck 0.03 38 62.22 Thorax 0.06 84 124.44 Abdomen/Lumbar/Spine 0.03 50 62.22 total 1 2074 2074
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