lease no written by hand solution and no img An article studies the differences between the ratings of experts and those of consumers when considering the evaluation medal for wines, which could be gold (G), silver (S), or bronze (B).   Three categories were then established.   The classification is the same [(G, G), (B, B), (S, S)]   Ranking differs by a medal [(G, S), (S, G), (S, B), (B, S)]   Ranking differs by two medals [(G, B), (B, G)]   The observed frequencies for these three categories were 65, 107, and 46, respectively. Assuming equally likely ratings from experts and consumers, which were assigned completely at random, each of the nine pairs of medals has a probability of 1/9. Carry out an appropriate chi-square test with a significance level of 0.10.   A)State the appropriate hypotheses.   1)H0: p1 = 1 /3 , p2 = 2/ 9 , p3 = 4/ 9   Ha: at least one pi ≠ pi0   2)H0: p1 = p2 = p3 = 1/ 9   Ha: at least one pi ≠ 1 /9   3)H0: p1 = p2 = p3 = 1 /3   Ha: at least one pi ≠ 1 /3   4)H0: p1 = 1/ 3 , p2 = 4/ 9 , p3 = 2/ 9   Ha: at least one pi ≠ pi0   B)Calculate the test statistic. (Round your answer to two decimal places.)   1)?2 =   C)What can be said about the P value for the test?   1)p-value < 0.005   2)0.005 < p-value < 0.01   3)0.01 < p-value < 0.025   4)0.025 < p-value < 0.05   5)0.05 < P-value <0.10   6)p-value > 0.10   D)State the conclusion in the context of the problem.   1)H0 is rejected. The data is not consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze.   2)H0 is not rejected. The data is not consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze.   3)H0 is rejected. The data is consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver or Bronze.   4)H0 is not rejected. The data is consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver or Bronze.

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An article studies the differences between the ratings of experts and those of consumers when considering the evaluation medal for wines, which could be gold (G), silver (S), or bronze (B).

 

Three categories were then established.

 

The classification is the same [(G, G), (B, B), (S, S)]

 

Ranking differs by a medal [(G, S), (S, G), (S, B), (B, S)]

 

Ranking differs by two medals [(G, B), (B, G)]

 

The observed frequencies for these three categories were 65, 107, and 46, respectively. Assuming equally likely ratings from experts and consumers, which were assigned completely at random, each of the nine pairs of medals has a probability of 1/9. Carry out an appropriate chi-square test with a significance level of 0.10.

 

A)State the appropriate hypotheses.

 

1)H0: p1 = 1 /3 , p2 = 2/ 9 , p3 = 4/ 9

 

Ha: at least one pi ≠ pi0

 

2)H0: p1 = p2 = p3 = 1/ 9

 

Ha: at least one pi ≠ 1 /9

 

3)H0: p1 = p2 = p3 = 1 /3

 

Ha: at least one pi ≠ 1 /3

 

4)H0: p1 = 1/ 3 , p2 = 4/ 9 , p3 = 2/ 9

 

Ha: at least one pi ≠ pi0

 

B)Calculate the test statistic. (Round your answer to two decimal places.)

 

1)?2 =

 

C)What can be said about the P value for the test?

 

1)p-value < 0.005

 

2)0.005 < p-value < 0.01

 

3)0.01 < p-value < 0.025

 

4)0.025 < p-value < 0.05

 

5)0.05 < P-value <0.10

 

6)p-value > 0.10

 

D)State the conclusion in the context of the problem.

 

1)H0 is rejected. The data is not consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze.

 

2)H0 is not rejected. The data is not consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze.

 

3)H0 is rejected. The data is consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver or Bronze.

 

4)H0 is not rejected. The data is consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver or Bronze.

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