A particular report included the following table classifying 815 fatal bicycle accidents that occurred in a certain year according to the time of day the accident occurred. Time of Day Number of Accidents midnight to 3 a.m. 46 3 a.m. to 6 a.m. 52 6 a.m. to 9 a.m. 85 9 a.m. to noon 72 noon to 3 p.m. 76 3 p.m. to 6 p.m. 157 6 p.m. to 9 p.m. 192 9 p.m. to midnight 135   For purposes of this exercise, assume that these 815 bicycle accidents are a random sample of fatal bicycle accidents. 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:    Ha: p1 > 1/3, p2>2/3   Ha: p1 ≠1/33, p2=2/3   Ha: p1 =1/3,p2=2/3   Ha: H0 is not true.   Ha: p1 >1/3,p2<2/3   x2=______? p-value______?   State the conclusion in the problem context.   Reject H0. There is convincing evidence to conclude that bicycle fatalities are not twice as likely to occur between noon and midnight as during midnight to noon.   Fail to reject H0. There is not convincing evidence to conclude that bicycle fatalities are not twice as likely to occur between noon and midnight as during midnight to noon.       Reject H0. There is not convincing evidence to conclude that bicycle fatalities are not twice as likely to occur between noon and midnight as during midnight to noon.   Fail to reject H0. There is convincing evidence to conclude that bicycle fatalities are not twice as likely to occur between noon and midnight as during midnight to noon.

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3.
A particular report included the following table classifying 815 fatal bicycle accidents that occurred in a certain year according to the time of day the accident occurred.
Time of Day Number of Accidents
midnight to 3 a.m. 46
3 a.m. to 6 a.m. 52
6 a.m. to 9 a.m. 85
9 a.m. to noon 72
noon to 3 p.m. 76
3 p.m. to 6 p.m. 157
6 p.m. to 9 p.m. 192
9 p.m. to midnight 135

 

For purposes of this exercise, assume that these 815 bicycle accidents are a random sample of fatal bicycle accidents.
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: 
 
Ha: p1 > 1/3, p2>2/3
 
Ha: p1 ≠1/33, p2=2/3
 
Ha: p1 =1/3,p2=2/3
 
Ha: H0 is not true.
 
Ha: p1 >1/3,p2<2/3
 
x2=______?
p-value______?
 
State the conclusion in the problem context.
 
Reject H0. There is convincing evidence to conclude that bicycle fatalities are not twice as likely to occur between noon and midnight as during midnight to noon.
 
Fail to reject H0. There is not convincing evidence to conclude that bicycle fatalities are not twice as likely to occur between noon and midnight as during midnight to noon.    
 
Reject H0. There is not convincing evidence to conclude that bicycle fatalities are not twice as likely to occur between noon and midnight as during midnight to noon.
 
Fail to reject H0. There is convincing evidence to conclude that bicycle fatalities are not twice as likely to occur between noon and midnight as during midnight to noon.
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