Solve completely. Thank you! The table below lists the frequency of wins for dif

Question

Solve completely. Thank you!

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? 2 13 4 14 6 Post Position Wins 10 10 19 15 13

Explanation / Answer

Here, we would be using chi square test

H0: All horses are equally likely to win
H1: Horses are not equally likely to win

Please find below the chi square test

p =    0.00448

Hence, reject the null hypothesis

Post Position Wins (Observed) Expected (O-E)^2/E 1 19 11.4 5.066666667 2 13 11.4 0.224561404 3 11 11.4 0.014035088 4 14 11.4 0.592982456 5 15 11.4 1.136842105 6 6 11.4 2.557894737 7 8 11.4 1.014035088 8 13 11.4 0.224561404 9 5 11.4 3.592982456 10 10 11.4 0.171929825 Avg Sum 11.4 14.59649123

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