2.

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 3 4 5 8 10 Wins 20 10 15 14 Co 12 10 Calculate the test statistic, x x =(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 sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different past positions. O B. Fail to reject He 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 He There is sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions. O D. Reject He 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? O No Yes