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 20 15 12 16 15 7 9 12 6 12 Determine the null and alternative hypotheses. H0: ▼ At least one post positions have a different frequency of wins than the others. 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. H1: ▼ At least one post position has a different frequency of wins than the others. Wins occur with equal frequency in the different post positions. 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. Calculate the test statistic, χ2. χ2=nothing (Round to three decimal places as needed.) Calculate the P-value. P-value=nothing (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? A. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. B. Reject H0. There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. C. Reject H0. There is sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. D. Fail to reject H0. There is sufficient 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? No Yes Click to select your answer(s).
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 20 15 12 16 15 7 9 12 6 12 Determine the null and alternative hypotheses. H0: ▼ At least one post positions have a different frequency of wins than the others. 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. H1: ▼ At least one post position has a different frequency of wins than the others. Wins occur with equal frequency in the different post positions. 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. Calculate the test statistic, χ2. χ2=nothing (Round to three decimal places as needed.) Calculate the P-value. P-value=nothing (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? A. Fail to reject H0. There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. B. Reject H0. There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. C. Reject H0. There is sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. D. Fail to reject H0. There is sufficient 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? No Yes Click to select your answer(s).
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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Question
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
|
20
|
15
|
12
|
16
|
15
|
7
|
9
|
12
|
6
|
12
|
Determine the null and alternative hypotheses.
H0:
▼
At least one post positions have a different frequency of wins than the others.
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.
H1:
▼
At least one post position has a different frequency of wins than the others.
Wins occur with equal frequency in the different post positions.
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.
Calculate the test statistic,
χ2.
χ2=nothing
(Round to three decimal places as needed.)Calculate the P-value.
P-value=nothing
(Round to four decimal places as needed.)What is the conclusion for this hypothesis test?
Fail to reject
H0.
There is
insufficient
evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.Reject
H0.
There is
insufficient
evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.Reject
H0.
There is
sufficient
evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.Fail to reject
H0.
There is
sufficient
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?
No
Yes
Click to select your answer(s).
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