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. 29 6 A.M. to 9 A.M. 66 9 A.M. to Noon 78 99 126 165 116 Noon to 3 PM. 3 P.M. to 6 PM. 6 P.M. to 9 PM. 9 P.M. to Midnight (a) Assume it is reasonable to regard the 717 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 x² value to two decimal places, and round your P-value to three decimal places.) ²-169 125 x P-value-0 ✓ What can you conclude? 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: 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 a 0.05. Round your value to two decimal places, and round your P-value to three decimal places.) 2²169 125 P-value-0 x x What can you conclude? There is sufficient evidence to reject Ho O There is insufficient evidence to reject Ho ✓

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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.
29
6 A.M. to 9 A.M.
66
9 A.M. to Noon
78
99
126
165
116
Noon to 3 P.M.
3 P.M. to 6 P.M.
6 P.M. to 9 P.M.
9 P.M. to Midnight
(a) Assume it is reasonable to regard the 717 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 x² value to two decimal places, and round your P-value to three decimal places.)
x²=169.125
x
P-value=0
What can you conclude?
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: 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 a = 0.05. Round your x² value to two decimal places, and round
your P-value to three decimal places.)
x²=169.125
P-value = 0
X
X
What can you conclude?
There is sufficient evidence to reject Ho.
O There is insufficient evidence to reject Ho.
Transcribed Image Text: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. 29 6 A.M. to 9 A.M. 66 9 A.M. to Noon 78 99 126 165 116 Noon to 3 P.M. 3 P.M. to 6 P.M. 6 P.M. to 9 P.M. 9 P.M. to Midnight (a) Assume it is reasonable to regard the 717 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 x² value to two decimal places, and round your P-value to three decimal places.) x²=169.125 x P-value=0 What can you conclude? 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: 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 a = 0.05. Round your x² value to two decimal places, and round your P-value to three decimal places.) x²=169.125 P-value = 0 X X What can you conclude? There is sufficient evidence to reject Ho. O There is insufficient evidence to reject Ho.
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