If Spearman's rank correlation statistic is −0.91 with a sample size of 10,what is the test statistic value to test the hypothesis that the rank correlation coefficient is zero?
A)−6.2080
B)6.2080
C)1.960
D)2.262

Question

Quizplus · Accepted Answer

To test the hypothesis that the rank correlation coefficient is zero, we can use the t-test for a correlation coefficient. The formula for calculating the test statistic is: t = r√(n-2)/(1-r^2), where r is the sample correlation coefficient and n is the sample size. Substituting the given values, we get: t = (-0.91)√(10-2)/(1-(-0.91)^2) = -6.2080. The negative sign indicates a negative correlation. Therefore, the best choice is A.

If Spearman's Rank Correlation Statistic Is −0