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 7 Wins Determine the null and alternative hypotheses. Ho: Wins occur with equal frequency in the different post positions. H₁: At least one post position has a different frequency of wins than the others. 20 No O Yes needed.) 2 14 3 10 Calculate the test statistic, ² x² = 26.696 (Round to three decimal places as needed.) Calculate the P-value P-value = [0.11 (Round to four decimal places What is the conclusion for this hypothesis test? O A. 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. Ⓒ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. 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. 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? 14 6 11 2 10 10
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 7 Wins Determine the null and alternative hypotheses. Ho: Wins occur with equal frequency in the different post positions. H₁: At least one post position has a different frequency of wins than the others. 20 No O Yes needed.) 2 14 3 10 Calculate the test statistic, ² x² = 26.696 (Round to three decimal places as needed.) Calculate the P-value P-value = [0.11 (Round to four decimal places What is the conclusion for this hypothesis test? O A. 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. Ⓒ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. 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. 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? 14 6 11 2 10 10
Chapter8: Sequences, Series,and Probability
Section8.7: Probability
Problem 4ECP: Show that the probability of drawing a club at random from a standard deck of 52 playing cards is...
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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.
Ho: Wins occur with equal frequency in the different post positions.
H₁: At least one post position has a different frequency of wins than the others.
1
20
O
O
No
Yes
2
14
3
10
4
14
Calculate the test statistic, x².
x² = 26.696 (Round to three decimal places as needed.)
Calculate the P-value.
P-value = 0.11 (Round to four decimal places as needed.)
What is the conclusion for this hypothesis test?
O A. 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.
Ⓒ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.
O 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.
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?
C
5
14
6
6
7
8
11
9
6
10
10
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