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 10 Wins 20 14 10 15 13 13 5 12 Determine the null and alternative hypotheses. Но H,: Calculate the test statistic, . x2 = (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. O B. Fail to reject Ho. There is insufficient evidence warrant rejection of the claim that the likelihood of winning is the same for the different post positions. OC. Reject Ho- There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. O D. Fail to reject Ho. 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
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 10 Wins 20 14 10 15 13 13 5 12 Determine the null and alternative hypotheses. Но H,: Calculate the test statistic, . x2 = (Round to three decimal places as needed.) Calculate the P-value. P-value = (Round to four decimal places as needed.) What is the conclusion for this hypothesis test? O A. Reject Ho. There sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. O B. Fail to reject Ho. There is insufficient evidence warrant rejection of the claim that the likelihood of winning is the same for the different post positions. OC. Reject Ho- There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. O D. Fail to reject Ho. 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
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
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Transcribed Image Text: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
4
7
10
Wins
20
14
10
15
13
7
9.
13
12
Determine the null and alternative hypotheses.
Ho:
H1:
Calculate the test statistic, x.
x² =
(Round to three decimal places as needed.)
Calculate the P-value.
P-value =
(Round to four decimal places as needed.)
What is the conclusion for this hypothesis test?
A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.
B. Fail to reject Ho. 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 Ho. There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.
D. Fail to reject Ho. 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
O 5
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