Question

A 0.05 significance level is being used to test a correlation between two variables. If the linear correlation coefficient r is found to be 0.591 and the critical values are r equalsplus or minus​0.878, what can you​ conclude? There is not sufficient evidence to support the claim of a linear correlation between the two variables. There is sufficient evidence to support the claim of a linear correlation between the two variables.

Answer 1

Answer:

Step-by-step explanation:

Given that the linear correlation coefficient r is found to be 0.591

the critical values are r equals plus or minus ​0.878.

Significance level used = 0.05

The correlation r = 0.591

$H_0:r=0\\H_a: r\neq 0$

(two tailed test)

Test statistic = $\frac{r\sqrt{n-2} }{\sqrt{1-r^2} } \\=0.7326*df$

Since r is less than 0.878, we accept that there is linear correlation between the two variables.