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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

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

19

15

11

15

14

7

7

11

6

12

QUESTIONS:

1. Calculate the test statistic X2? (Round to three decimal places as needed.)

2. Calculate the P-value? (Round to four decimal places as needed.)

3. What is the conclusion of the hypothesis test? (Reject or Fail to reject)

4. Based on the result should the bettors consider the post position of a horse race? (Yes or No)

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