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

Question

The table below lists the frequency of wins for diflerent 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 10 12 19 13 10 13 12 Determine the null and altemative hypotheses. Calculate the test statistic, 2 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? O A. 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 B Reject Ho There is insuficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. 0 C 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. ? 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? O No 0s

Explanation / Answer

TS = 13.1929

p-value = 0.1541

option A) is correct

No

Oi Ei (Oi-Ei)^2/Ei 19 11.4 5.066666667 13 11.4 0.224561404 10 11.4 0.171929825 15 11.4 1.136842105 13 11.4 0.224561404 7 11.4 1.698245614 8 11.4 1.014035088 12 11.4 0.031578947 5 11.4 3.592982456 12 11.4 0.031578947 114 114 13.19298246 critical value 16.9189776 p-value 0.154066677

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