In testing the hypotheses: H0: $\rho$s = 0
HA: $\rho$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 the Spearman rank correlation coefficient, $r_s$, can be calculated using the formula $t = r_s \sqrt{\frac{n-2}{1-r_s^2}}$, where $n$ is the number of observations. Substituting $r_s = 0.389$ and $n = 50$ into the formula gives $t = 0.389 \sqrt{\frac{50-2}{1-0.389^2}} \approx 2.723$.

In Testing the Hypotheses: H0 ρ\rhoρ S = 0 HA ρ\rhoρ S ≠\neq=

In Testing the Hypotheses: H0 $\rho$ S = 0
HA $\rho$ S $\neq$