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=±0.708
C)r=±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=±0.708
C)r=±0.576
D)  r=0.735

Quizplus · Accepted Answer

The critical value of r for a two-tailed test with n=12 and $\alpha = 0.01$ can be found in a table of critical values for Pearson's correlation coefficient. For n=12 and $\alpha = 0.01$, the critical value is approximately ±0.708, indicating that if the computed correlation coefficient is greater than 0.708 or less than -0.708, the null hypothesis of no correlation can be rejected at the 0.01 significance level.

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

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