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. Use the given information to construct and interpret a 95% confidence interval for the difference in the proportions of motorcyclists who would avoid crashes.
A) CI: (0.083; 0.517) Because both endpoints of the interval are positive, you would conclude 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 by somewhere between 0.083 and 0.517.
B) CI: (-0.183; 0.517) Because 0 is included in the confidence interval, you would conclude that the proportion of motorcyclists who avoided crashes while driving in conditions A and the proportion of motorcyclists who avoided crashes while driving in conditions B could be equal.
C) CI: (-0.517; 0.083) Because 0 is included in the confidence interval, you would conclude that the proportion of motorcyclists who avoided crashes while driving in conditions A and the proportion of motorcyclists who avoided crashes while driving in conditions B could be equal.
D) CI: (0.183; 0.517) Because both endpoints of the interval are positive, you would conclude 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 by somewhere between 0.183 and 0.517.
E) CI: (-0.517; -0.083) Because both endpoints of the interval are negative, you would conclude that the proportion of motorcyclists who avoided crashes while driving in conditions B is greater the proportion of motorcyclists who avoided crashes while driving in conditions A by somewhere between 0.083 and 0.517.
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