An article describes an experiment that investigated if car following behavior for motorcyclists in conditions A is less dangerous than in conditions B. Motorcyclists were randomly assigned to one of two groups. The 60 participants in the first group were placed in conditions A while driving in a simulator. The 60 participants in the second group were placed in conditions B while driving in a simulator. The motorcyclists were instructed to pay attention to neighboring traffic, maintain two car lengths from a virtual lead vehicle, and avoid crashes. Of the motorcyclists from the group A, 38 avoided crashes. Of the motorcyclists from the group B, 17 avoided crashes. Does these suggest that car following driving in conditions A is less dangerous than car following driving in conditions B? Carry out large-sample z test for a difference in treatment proportions and interpret the conclusion in context.
A) ;
; reject H0.The proportion of motorcyclists who avoided crashes while driving in conditions A is significantly greater than the proportion of motorcyclists who avoided crashes while driving in conditions B.We can conclude that car following driving in conditions A is less dangerous than car following driving in conditions B.
B) ;
; fail to reject H0.The proportion of motorcyclists who avoided crashes while driving in conditions B is greater than the proportion of motorcyclists who avoided crashes while driving in conditions A.We can conclude that car following driving in conditions B is less dangerous than car following driving in conditions A.
C) ;
; reject H0.The proportion of motorcyclists who avoided crashes while driving in conditions B is significantly greater than the proportion of motorcyclists who avoided crashes while driving in conditions A.We can conclude that car following driving in conditions A is less dangerous than car following driving in conditions B.
D) ;
; fail to reject H0.There is no evidence that the proportion of motorcyclists who avoided crashes while driving in conditions A is greater than the proportion of motorcyclists who avoided crashes while driving in conditions B.We can conclude that level of danger of car following driving in conditions A and level of danger of car following driving in conditions B could be equal.
E) ;
; reject H0.The proportion of motorcyclists who avoided crashes while driving in conditions A is significantly greater than the proportion of motorcyclists who avoided crashes while driving in conditions B.We can conclude that car following driving in conditions B is less dangerous than car following driving in conditions A.
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