A particular report indluded the following table classifying 711 fatal bicydle accidents according to time of day the accident occurred. Time of Day Number of Accidents Midnight to JAM JAMto GAM 28 GAMTO 9AM. 9AM to Noon 27 Noon to 3M. 97 3AM.to 6P 126 GAM. to 9AM 165 M. to Midnight 136 (a) Assume it is reasonable to regard the 711 bicydle 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 kely to occur in each of the 3-hour time periods used to construct the table? Test the relevant hypotheses using a significance level of 0s. (Round your value to two decimal places, and round your Pvalue to three decimal places.) Pralue what can you conclude There is sufident evidence to reject O There is insufficient evidence to reject

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A particular report included the following table classifying 711 fatal bicycle accidents according to time of day the accident occurred.
Time of Day
Number of Accidents
Midnight to 3 A.M.
38
З А.М. to 6 А.М.
28
6 A.M. to 9 A.M.
64
9 A.M. to Noon
77
Noon to 3 P.M.
97
3 Р.М. to 6 Р.М.
126
бР.М. to 9 Р.М.
165
9 P.M. to Midnight
116
(a) Assume it is reasonable to regard the 711 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 = 0
What can you conclude?
O There is sufficient evidence to reject H:
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, p, = 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 x2 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 H.
O There is insufficient evidence to reject H..
Transcribed Image Text:A particular report included the following table classifying 711 fatal bicycle accidents according to time of day the accident occurred. Time of Day Number of Accidents Midnight to 3 A.M. 38 З А.М. to 6 А.М. 28 6 A.M. to 9 A.M. 64 9 A.M. to Noon 77 Noon to 3 P.M. 97 3 Р.М. to 6 Р.М. 126 бР.М. to 9 Р.М. 165 9 P.M. to Midnight 116 (a) Assume it is reasonable to regard the 711 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 = 0 What can you conclude? O There is sufficient evidence to reject H: 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, p, = 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 x2 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 H. O There is insufficient evidence to reject H..
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