Question

A medical research team studied the number of head and neck injuries sustained by hockey players. Of the 310 players who wore a full-face shield, 175 sustained an injury. Of the 402 players who wore a half-face shield, 252 sustained an injury. At α = 0.10, can you reject the claim that the proportions of players sustaining head and neck injuries are the same for the two groups?

Answer 1

Given:

n1=310, X1=175, n2=402, X2=252, = 0.10

Hypothesis:

Ho: P1 = P2

Ha: P1 P2

Calculation:

Q= 1-P = 1-0.60 = 0.40

Test statistic:

Critical value:

Z/2 = Z0.10/2 = 1.645    ..........Using standard Normal table

Conclusion:

| Test statistic | > Critical value, i.e. 1.6836 > 1.645, That is Reject Ho at 10% level of significance.

Therefore, We Reject the claim that the proportion of players sustaining head and neck injuries are the same for the two groups.