In a local ice skating contest,there were 2 judges and 15 contestants.Each judge was asked to rate each contestant on a 7-point scale.The most successful candidates received a rating value of 7,while the least successful candidates received a rating value of 1.It appears that the bivariate normal probability distribution assumption was severely violated.The City Council wants to know whether the judges have similar opinions in rating ice skating competitors.At a significance level of .01,the rejection point condition for the hypothesis test is A) reject H₀ if r_s .457. B) reject H₀ if r_s .623. C) reject H₀ if r_s .441. D) reject H₀ if r_s .646. E) reject H₀ if r_s .689.

Question

In a local ice skating contest,there were 2 judges and 15 contestants.Each judge was asked to rate each contestant on a 7-point scale.The most successful candidates received a rating value of 7,while the least successful candidates received a rating value of 1.It appears that the bivariate normal probability distribution assumption was severely violated.The City Council wants to know whether the judges have similar opinions in rating ice skating competitors.At a significance level of .01,the rejection point condition for the hypothesis test is A) reject H₀ if r_s > .457. B) reject H₀ if r_s > .623. C) reject H₀ if r_s > .441. D) reject H₀ if r_s > .646. E) reject H₀ if r_s > .689.

Quizplus · Accepted Answer

Since there are 15 samples, the rejection point would be r > .623 for a significance level of .01. This value can be obtained from a table of critical values for the Pearson correlation coefficient at the given sample size and significance level. Therefore, we would reject the null hypothesis of similar opinions if the calculated correlation coefficient is greater than .623.

In a Local Ice Skating Contest,there Were 2 Judges and 15