Given a sample of size n = 15 and a sample correlation of r = 0.7, the value of the test statistic for conducting a hypothesis test of the correlation is t = 3.53.

Question

Quizplus · Accepted Answer

The test statistic for a hypothesis test of the correlation coefficient, $r$, can be calculated using the formula $t = r\sqrt{\frac{n-2}{1-r^2}}$, where $n$ is the sample size. Substituting $n = 15$ and $r = 0.7$ into the formula gives $t = 0.7\sqrt{\frac{15-2}{1-0.7^2}} \approx 3.53$.

Given a Sample of Size N = 15 and a Sample