QUESTION

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A police department observed 50 out of 89 motorists that went through an intersection were speeding. A $99 \%$ confidence interval for the proportion of those speeding through the intersection is $(0.42633,0.69727)$ City council has agreed to put a stop sign at the intersection if it can be proved that more than $50 \%$ of all motorists speed through it. Based on this information what conclusions can be drawn from confidence interval? Select all that apply. Select one or more: a. A $95 \%$ confidence interval for the same sample would be wider than the $99 \%$ confidence interval b. A $95 \%$ confidence interval for the same sample would be narrower than the $99 \%$ confidence interval c. If this study were repeated, there is a 998 probability that the calculated confidence interval would contain the true proportion of everyone speeding through intersection. d. There is enough evidence to conclude more than $50 \%$ of all motorists are speeding through intersection e. There is not enough evidence to conclude more than $50 \%$ of all motorists are speeding through intersoction

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