The use of helmet among recreational alpine skiers and snowboarders are generall

Question

The use of helmet among recreational alpine skiers and snowboarders are generally low. A
study from Norway [4] wanted to examine if helmet use reduces the risk of head injury. In the
study, they compared the helmet use among skiers and snowboarders that was injured with
a control group. The control group consisted of skiers and snowboarders that was uninjured.
96 of 578 people with head injuries used a helmet and 656 of 2992 people in the uninjured
group used a helmet.
Is helmet use lower among skiers and snowboarders who had head injuries?

Explanation / Answer

Ho : p1 = p2

Ha : p1 < p2

p1 = 96/578= 0.166

p2 = 656 / 2992 = 0.22

P = ( 96+656) / ( 578+2992) = 0.2106

Z = ( 0.166 - 0.22 ) / ( srqt 0.2106*0.7894* ( 1/2992 + 1/578) )

Z = -2.91

p value : 0.00181

for alpha = 0.05

since p value is lower than alpha we reject Ho

that means that helmet use is lower among skiers and snowboarders who had head injuries

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