The table below lists the frequency of wins for different post positions in the Kentucky Derby horse race (current as of this writing). A post position of 1 is closest to the inside rail, so that horse has the shortest distance to run. 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 racing in the Kentucky Derby?

Conduct the hypothesis test and provide the test statistic, critical value, and/or P-value, and state the conclusion.

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Post Position 1 23 4 5 678 910 Wins 9 14 11 15 14 7 8 12 51