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 $r ^ { \prime } = \pm 0.878$ what can you conclude?
A) There is not sufficient evidence to support the claim of a linear correlation between the two variables.
B) There is sufficient evidence to support the claim of a linear correlation between the two variables.

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 $r ^ { \prime } = \pm 0.878$ what can you conclude?
A) There is not sufficient evidence to support the claim of a linear correlation between the two variables.
B) There is sufficient evidence to support the claim of a linear correlation between the two variables.

Quizplus · Accepted Answer

Since the computed linear correlation coefficient $r = 0.591$ is less than the critical value $r' = \pm 0.878$, it falls within the range of values for which the null hypothesis (no linear correlation) cannot be rejected at the 0.05 significance level.

A 005 Significance Level Is Being Used to Test a Correlation