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?   a. Calculate the test​ statistic,χ2. χ2= ​(Round to three decimal places as​ needed.)   b. Calculate the​ P-value. ​P-value= ​(Round to four decimal places as​ needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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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 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?
 
a. Calculate the test​ statistic,χ2.
χ2=
​(Round to three decimal places as​ needed.)
 
b. Calculate the​ P-value.
​P-value=
​(Round to four decimal places as​ needed.)
Post Position
Wins
1
20
2
15
3
10
4
16
5
14
6
79
8
12
96
10
12
Transcribed Image Text:Post Position Wins 1 20 2 15 3 10 4 16 5 14 6 79 8 12 96 10 12
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