The table below lists the frequency of wins for different post positions in a ho

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? Determine the null and alternative hypotheses. Calculate the test statistic. chi^2. Chi^2=___ (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? Reject H_0. 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 H_0. 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 H_0. There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. Reject H_0. There is insufficient 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

Explanation / Answer

Ho: The likelihood of winning is same for different post positions.

H1: The likelihood of winning is not same for different post positions.

The statistical software output for this problem is:

Chi-Square goodness-of-fit results:
Observed: Wins
Expected: All cells in equal proportion

Hence,

X2 = 14.034

p - Value = 0.1211

Conclusion: Option C

No

N DF Chi-Square P-value 118 9 14.033898 0.1211

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