The following table is taken from \"Helmet Use and Risk of Head Injuries in Alpi

Question

The following table is taken from "Helmet Use and Risk of Head Injuries in Alpine Skiers and Snowboarders" by Sullheim et. al., Journal of the American Medical Association, Vol. 295, No. 8. It displays the results from 3562 skiers and snowboarders involved in accidents. Use it to answer the following questions 1. No Head Inju 656 2330 2986 Total 752 2810 3562 Head Injur 96 Wore Helmet Did Not Wear Helmet480 Total 576 If one subject is randomly selected from this study, find the probability that person wore a helmet a. b. If a subject with a head injury is randomly selected, find the probability that person did not weara helmet Find the probability that someone who wore a helmet in this study sustained a head injury. Find the probability that someone who did not wear a helmet in this study sustained a head injury [2 pts] Based on these data, does it appear that wearing a helmet could reduce the chance of a head c. d. injury among alpine skiers and snowboarders involved in accidents? Explain your answer.

Explanation / Answer

a) P( wearing the helmet) =752/3562 =0.2111

b) P(did not wear helmet|head injury) =480/576=0.8333

c) P(head injury|wore a helmet) =96/752 =0.1277

d) P(head injury |did not wear helmet) =480/2810=0.1708

e)Yes as we can see from part c and d ; that head injury probability is less among people who wore helmet./

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