If n = 15 and r = .4296, the corresponding t statistic to test for zero correlation is:
A)1.715.
B)7.862.
C)2.048.
D)impossible to determine without α.

Question

Quizplus · Accepted Answer

The t statistic to test for zero correlation can be calculated using the formula $t = \frac{r\sqrt{n-2}}{\sqrt{1-r^2}}$, where $r$ is the correlation coefficient and $n$ is the sample size. Plugging in the given values, $r = .4296$ and $n = 15$, we get $t = \frac{.4296\sqrt{15-2}}{\sqrt{1-.4296^2}} \approx 1.715$. This calculation does not require the value of $\alpha$ (the level of significance), making choice A correct.

If N = 15 and R =