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A particular report included the following table classifying 709 fatal bicycle accidents according to time of day the accident occurred. Time of Day Number of Accidents Midnight to 3 A.M. 36 3 A.M. to 6 A.M. 27 6 A.M. to 9 A.M. 65 9 A.M. to Noon 77 Noon to 3 P.M. 97 3 P.M. to 6 P.M. 127 6 P.M. to 9 P.M. 166 9 P.M. to Midnight 114 (a) Assume it is reasonable to regard the 709 bicycle accidents summarized in the table as a random sample of fatal bicycle accidents in that year. Do these data support the hypothesis that fatal bicycle accidents are not equally likely to occur in each of the 3-hour time periods used to construct the table? Test the relevant hypotheses using a significance level of .05. (Round your x value to two decimal places, and round your P-value to three decimal places.) x2 = P-value = What can you conclude? O There is sufficient evidence to reject Ho. O There is insufficient evidence to reject Ho. (b) Suppose a safety office proposes that bicycle fatalities are twice as likely to occur between noon and midnight as during midnight to noon and suggests the following hypothesis: Ho: P, = 1/3, P2 = 2/3, where p, is the proportion of accidents occurring between midnight and noon and p, is the proportion occurring between noon and midnight. Do the given data provide evidence against this hypothesis, or are the data consistent with it? Justify your answer with an appropriate test. (Hint: Use the data to construct a one- way table with just two time categories. Use a = 0.05. Round your x value to two decimal places, and round your P-value to three decimal places.) x 2 = P-value = What can you conclude? O There is sufficient evidence to reject Ho. O There is insufficient evidence to reject Ho