Given a sample correlation r = -0.5 and a sample size of n = 30, the test statistic for testing whether the two variables are significantly correlated is approximately t = -3.055.

Question

Quizplus · Accepted Answer

The test statistic for a correlation coefficient can be calculated using the formula $t = \frac{r\sqrt{n-2}}{\sqrt{1-r^2}}$, where $r$ is the sample correlation coefficient and $n$ is the sample size. Substituting $r = -0.5$ and $n = 30$ into the formula gives $t \approx -3.055$, confirming the statement is true.

Given a Sample Correlation R = -0