An article studied differences between expert and consumer ratings by considering medal ratings for wines, which could be gold (G), silver (S), or bronze (8). Three categories were then established. 1. Rating is the same [(G, G), (B, B), (S, S)) 2. Rating differs by one medal [(G, S), (S, G), (S, B), (8, S)] 3. Rating differs by two medals [(G, B), (B, G)] The observed frequencies for these three categories were 63, 104, and 41, respectively. On the hypothesis of equally likely expert ratings and consumer ratings being assigned completely by chance, each of the nine medal pairs has probability 1/9. Carry out an appropriate chi-squared test using significance level of 0.10. LAUSE SALT State the appropriate hypotheses. Ho: P₁-P₂ P3 H₁: at least one p, + 1 OHg: P₁ P₂ P3- - " Ha: at least one p, * P10 Po Ho: P₁ P₂ P3 - H₁: at least one p, H₂: at least one p, P10 Calculate the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test? O P-value < 0.005 O 0.005 < P-value < 0.01 O 0.01 < P-value < 0.025 O 0.025< P-value< 0.05 O 0.05 < P-value < 0.10 O P-value> 0.10 State the conclusion in the problem context. O Fail to reject Ho. The data are consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze. O Fail to reject Ho. The data are not consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze. O Reject H. The data are consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze. O Reject Ho. The data are not consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze.

MATLAB: An Introduction with Applications
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An article studied differences between expert and consumer ratings by considering medal ratings for wines, which could be gold (G), silver (S), or bronze (B). Three categories were then established.
1. Rating is the same [(G, G), (B, B), (S, S))
Rating differs by one medal [(G, S), (S, G), (S, B), (B, S)]
3. Rating differs by two medals [(G, B), (B, G)]
The observed frequencies for these three categories were 63, 104, and 41, respectively. On the hypothesis of equally likely expert ratings and consumer ratings being assigned completely by chance, each of the nine medal pairs has probability 1/9. Carry out an appropriate chi-squared test using a
significance level of 0.10.
LUSE SALT
State the appropriate hypotheses.
O Ho: P₁ = P₂ = P3
H₂: at least one p, +==
13
O Ho: P₁
P₂P3==
H₂: at least one p, * Pio
OH₁²P₁ = P₂ = P3 = =
1
H₂: at least one p, *==
4
O H₁² P₁ = P₂ = ₁P3 = ²
Ho:
P2
H₁: at least one p, * P10
Calculate the test statistic. (Round your answer to two decimal places.)
What can be said about the P-value for the test?
O P-value < 0.005
O 0.005 P-value < 0.01
O 0.01 < P-value < 0.025
O 0.025 < P-value < 0.05
O 0.05 < P-value < 0.10
OP-value> 0.10
State the conclusion in the problem context.
O Fail to reject Ho. The data are consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze.
O Fail to reject Ho. The data are not consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze.
O Reject H. The data are consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze.
O Reject Ho. The data are not consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze.
Transcribed Image Text:An article studied differences between expert and consumer ratings by considering medal ratings for wines, which could be gold (G), silver (S), or bronze (B). Three categories were then established. 1. Rating is the same [(G, G), (B, B), (S, S)) Rating differs by one medal [(G, S), (S, G), (S, B), (B, S)] 3. Rating differs by two medals [(G, B), (B, G)] The observed frequencies for these three categories were 63, 104, and 41, respectively. On the hypothesis of equally likely expert ratings and consumer ratings being assigned completely by chance, each of the nine medal pairs has probability 1/9. Carry out an appropriate chi-squared test using a significance level of 0.10. LUSE SALT State the appropriate hypotheses. O Ho: P₁ = P₂ = P3 H₂: at least one p, +== 13 O Ho: P₁ P₂P3== H₂: at least one p, * Pio OH₁²P₁ = P₂ = P3 = = 1 H₂: at least one p, *== 4 O H₁² P₁ = P₂ = ₁P3 = ² Ho: P2 H₁: at least one p, * P10 Calculate the test statistic. (Round your answer to two decimal places.) What can be said about the P-value for the test? O P-value < 0.005 O 0.005 P-value < 0.01 O 0.01 < P-value < 0.025 O 0.025 < P-value < 0.05 O 0.05 < P-value < 0.10 OP-value> 0.10 State the conclusion in the problem context. O Fail to reject Ho. The data are consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze. O Fail to reject Ho. The data are not consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze. O Reject H. The data are consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze. O Reject Ho. The data are not consistent with the hypothesis that expert and consumer ratings are independent and equally likely to be Gold, Silver, or Bronze.
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