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 1818 1515 1111 1515 1313 77 99 1212 55 1111 Determine the null and alternative hypotheses.   Upper H 0H0​: Wins occur with equal frequency in the different post positions.   Upper H 1H1​: At least one post position has a different frequency of wins than the others.   Calculate the test​ statistic, chi squaredχ2.   chi squaredχ2equals= ​(Round to three decimal places as​ needed.)   Calculate p value   P value=

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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?
 
Post Position
1
2
3
4
5
6
7
8
9
10
 
Wins
1818
1515
1111
1515
1313
77
99
1212
55
1111
Determine the null and alternative hypotheses.
 
Upper H 0H0​:
Wins occur with equal frequency in the different post positions.
 
Upper H 1H1​:
At least one post position has a different frequency of wins than the others.
 
Calculate the test​ statistic,
chi squaredχ2.
 
chi squaredχ2equals=
​(Round to three decimal places as​ needed.)
 
Calculate p value
 
P value=
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