Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the
Number of pairs of data n and the significance level $\alpha$

$n = 14 , \alpha = 0.01$
A) $r = 0.661$
B) $r = 0.684$
C) $r = \pm 0.532$
D) $r = \pm 0.661$

Question

Suppose you will perform a test to determine whether there is sufficient evidence to support a claim of a linear correlation between two variables. Find the critical values of r given the
Number of pairs of data n and the significance level $\alpha$

$n = 14 , \alpha = 0.01$
A) $r = 0.661$
B) $r = 0.684$
C) $r = \pm 0.532$
D) $r = \pm 0.661$

Quizplus · Accepted Answer

The critical value of r for a two-tailed test with $n = 14$ and $\alpha = 0.01$ can be found in a critical values of the Pearson correlation coefficient table. For these parameters, the critical value is indeed $\pm 0.661$, indicating that any correlation coefficient beyond these values in either direction is considered statistically significant at the 0.01 level.

Suppose You Will Perform a Test to Determine Whether There α\alphaα

Suppose You Will Perform a Test to Determine Whether There $\alpha$