The table below lists the frequency of wins for different po

The table below lists the frequency of wins for different post positions in the Kentucky Derby.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 results, should bettors consider the post position of a horse racing in the Kentucky Derby? Answer must include the null hypothesis, the alternative hypothesis, calculation of the experimental chi square value, one decision rule and one conclusion.

Post Position

1

2

3

4

5

6

7

8

9

10

Wins

19

14

11

15

14

7

8

12

5

11

Solution

Null hypothesis: the likelihood of winning is the same for the different post positions.

Alternative hypothesis: the likelihood of winning is not the same for the different post positions.