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 insiderail, so that horse has the shortest distance to run.(Because the number of horses varies from year toyear, only the first 10 post positions areincluded.) 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 theresult, should bettors consider the post position of a horserace?

Post Position= 1 2 3 4 5 6 7 8 9 10

wins=. 20 14 10 14 13 6 9 11 4 12

a. Determine the null and alternative hypotheses

b. calculate the test statistic and p value

What is the conclusion for this hypothesistest?

A.

Reject H0. There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.

B.

Failtoreject H0. There is sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions..

C.

Failtoreject H0. There is insufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.

D.

Reject H0. There is sufficient evidence to warrant rejection of the claim that the likelihood of winning is the same for the different post positions.

Based on theresult, should bettors consider the post position of a horserace?

No

Yes