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 tha 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 8 10 Wins 18 14 12 15 15 7 13 6. 11 66

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A: Given,n=420056x=121p^=xnp^=121420056=0.00029α=0.005

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A: Power of the test is given.

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Q: Find Null/alternative hypothesis Test statistic P-Value Conclusion Thank you

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A: From the provided information, Sample size (n) = 10 Level of significance (α) = 0.01

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A: d¯ =1.29 , sd = 1.93 , n =19

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Q: What are fundamental differences between t test, z test and F test?

A: fundamental differences between t test, z test and F test?

Q: Identify test statistic Identify Z value Reject or accept hypothesis

A:

Q: What are the two types of hypotheses used in a hypothesis​ test? How are they​ related?

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2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.