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 the same for the different post positions. Based on the result, should bettors consider the post position of a horse race? Post Position Wins Determine the null and alternative hypotheses. Ho: H₂: O No O Yes 19 (Round to four decimal places as needed.) 15 Calculate the test statistic, ². x² = (Round to three decimal places as needed.) Calculate the P-value. P-value = What is the conclusion for this hypothesis test? O A. 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. OB. 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.. OC. 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. O D. 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? 12 14 8 11 10 12 D
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 the same for the different post positions. Based on the result, should bettors consider the post position of a horse race? Post Position Wins Determine the null and alternative hypotheses. Ho: H₂: O No O Yes 19 (Round to four decimal places as needed.) 15 Calculate the test statistic, ². x² = (Round to three decimal places as needed.) Calculate the P-value. P-value = What is the conclusion for this hypothesis test? O A. 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. OB. 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.. OC. 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. O D. 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? 12 14 8 11 10 12 D
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 11ECP: A manufacturer has determined that a machine averages one faulty unit for every 500 it produces....
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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
Wins
Determine the null and alternative hypotheses.
H₂:
H₂₁:
Calculate the test statistic, ².
x² = (Round to three decimal places as needed.)
Calculate the P-value.
(Round to four decimal places as needed.)
O No
O Yes
1
19
2
15
3
12
4
14
C
5
15
P-value =
What is the conclusion for this hypothesis test?
O A. 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 B.
O C.
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..
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.
O D. 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?
6
6
9
8
11
9
4
10
12
n
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