Conduct the hypothesis test and provide the test statistic, critical value and or P-value, and state the conclusion.
Kentucky Derby The table below lists the frequency of wins for different post positions in the Kentucky Derby 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 ten 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 racing in the Kentucky Derby?
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Post Position
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1
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2
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3
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4
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5
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6
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7
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8
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9
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10
|
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Wins
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19
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14
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11
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14
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14
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7
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8
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11
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5
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11
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