A particular report included the following table classifying 717 fatal bicycle accidents according to time of day the accident occurred. Time of Day Number of Accidents Midnight to 3 a.m. 38 3 a.m. to 6 a.m. 27 6 a.m. to 9 a.m. 67 9 a.m. to Noon 78 Noon to 3 p.m. 99 3 p.m. to 6 p.m. 126 6 p.m. to 9 p.m. 166 9 p.m. to Midnight 116 (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: H0: p1 = 1/3, p2 = 2/3, where p1 is the proportion of accidents occurring between midnight and noon and p2 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 ? = 0.05. Round your ?2 value to two decimal places, and round your P-value to three decimal places.) ?2 = P-value =
A particular report included the following table classifying 717 fatal bicycle accidents according to time of day the accident occurred.
Time of Day | Number of Accidents |
---|---|
Midnight to 3 a.m. | 38 |
3 a.m. to 6 a.m. | 27 |
6 a.m. to 9 a.m. | 67 |
9 a.m. to Noon | 78 |
Noon to 3 p.m. | 99 |
3 p.m. to 6 p.m. | 126 |
6 p.m. to 9 p.m. | 166 |
9 p.m. to Midnight | 116 |
(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: H0: p1 = 1/3, p2 = 2/3, where p1 is the proportion of accidents occurring between midnight and noon and p2 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 ? = 0.05. Round your ?2 value to two decimal places, and round your P-value to three decimal places.)
?2 | = | |
P-value | = |
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