In a local ice-skating contest, there were two 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 two 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

Because there were 15 contestants this being a two-tailed test, we look up .005, reject H₀if r_s> .623.

In a Local Ice-Skating Contest, There Were Two Judges and 15