Question

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	1	2	3	4	5	6	7	8	9	10
Wins	1919	1414	1010	1414	1515	88	88	1313	66	1212

Determine the null and alternative hypotheses.

Upper H 0H0​:

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Upper H 1H1​:

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Answer 1

H0: the likelihood of winning is the same for the different post positions.

H1 : the likelihood of winning is not same for the different post positions.