In testing the hypotheses: $$H _ { 0 } : \rho _ { s } = 0$$ $$H _ { 1 } : D _ { s } \neq 0$$ , the Spearman rank correlation coefficient in a sample of 50 observations is 0.389. The value of the test statistic is:
A) 2.75.
B) 18.178.
C) 2.723.
D) 17.995.

Question

Quizplus · Accepted Answer

The test statistic for Spearman's rank correlation is calculated using the formula: $ t = \frac{r_s \sqrt{n-2}}{\sqrt{1-r_s^2}} $. Substituting $ r_s = 0.389 $ and $ n = 50 $ gives approximately 2.723.

In Testing the Hypotheses H0:ρs=0H _ { 0 } : \rho _ { s } = 0H0​:ρs​=0

In Testing the Hypotheses $H _ { 0 } : \rho _ { s } = 0$