The table below lists the frequency of wins for different post positions in a horse race. A post position of 1 is closest to the inside​ rail, so that horse has the shortest distance to run.​ (Because the number of horses varies from year to​ year, only the first 10 post positions are​ included.) Use a 0.05 significance level to test the claim that the likelihood of winning is the same for the different post positions. Based on the​ result, should bettors consider the post position of a horse​ race?   Post Position 1 2 3 4 5 6 7 8 9 10   Wins 1818 1515 1212 1616 1313 66 77 1313 55 1111 Determine the null and alternative hypotheses.   Upper H 0H0​: ▼   Wins occur with equal frequency in the different post positions. Wins occur with all different frequency in the different post positions. At least one post position has a different frequency of wins than the others. At least one post positions have a different frequency of wins than the others. Upper H 1H1​: ▼   At least one post position has a different frequency of wins than the others. At least one post positions have a different frequency of wins than the others. Wins occur with all different frequency in the different post positions. Wins occur with equal frequency in the different post positions. Calculate the test​ statistic, chi squaredχ2.   chi squaredχ2equals=nothing ​(Round to three decimal places as​ needed.) Calculate the​ P-value.   ​P-valueequals=nothing ​(Round to four decimal places as​ needed.) What is the conclusion for this hypothesis​ test?     A. RejectReject Upper H 0H0. There is sufficientsufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.   B. Fail to rejectFail to reject Upper H 0H0. There is insufficientinsufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.   C. Fail to rejectFail to reject Upper H 0H0. There is sufficientsufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions..   D. RejectReject Upper H 0H0. There is insufficientinsufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. Based on the​ result, should bettors consider the post position of a horse​ race?

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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The table below lists the frequency of wins for different post positions in a horse race. A post position of 1 is closest to the inside​ rail, so that horse has the shortest distance to run.​ (Because the number of horses varies from year to​ year, only the first 10 post positions are​ included.) Use a 0.05 significance level to test the claim that the likelihood of winning is the same for the different post positions. Based on the​ result, should bettors consider the post position of a horse​ race?
 
Post Position
1
2
3
4
5
6
7
8
9
10
 
Wins
1818
1515
1212
1616
1313
66
77
1313
55
1111
Determine the null and alternative hypotheses.
 
Upper H 0H0​:
 
Wins occur with equal frequency in the different post positions.
Wins occur with all different frequency in the different post positions.
At least one post position has a different frequency of wins than the others.
At least one post positions have a different frequency of wins than the others.
Upper H 1H1​:
 
At least one post position has a different frequency of wins than the others.
At least one post positions have a different frequency of wins than the others.
Wins occur with all different frequency in the different post positions.
Wins occur with equal frequency in the different post positions.
Calculate the test​ statistic,
chi squaredχ2.
 
chi squaredχ2equals=nothing
​(Round to three decimal places as​ needed.)
Calculate the​ P-value.
 
​P-valueequals=nothing
​(Round to four decimal places as​ needed.)
What is the conclusion for this hypothesis​ test?
 
 
A.
RejectReject
Upper H 0H0.
There is
sufficientsufficient
evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.
 
B.
Fail to rejectFail to reject
Upper H 0H0.
There is
insufficientinsufficient
evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.
 
C.
Fail to rejectFail to reject
Upper H 0H0.
There is
sufficientsufficient
evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions..
 
D.
RejectReject
Upper H 0H0.
There is
insufficientinsufficient
evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.
Based on the​ result, should bettors consider the post position of a horse​ race?
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