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 $\alpha$.
$n = 12 , \alpha . = 0.01$
A) $r = 0.708$
B) $r = \pm 0.708$
C) $r = \pm 0.576$
D) $r = 0.735$

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 $\alpha$. 
$n = 12 , \alpha . = 0.01$
A) $r = 0.708$
B) $r = \pm 0.708$
C) $r = \pm 0.576$
D) $r = 0.735$

Quizplus · Accepted Answer

For $n = 12$ and $\alpha = 0.01$, the critical values for $r$ are $\pm 0.708$ based on the correlation coefficient table for a two-tailed test.

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