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 = ±0.878, what can you conclude?

Null hypothesis:

Alternative hypothesis:

The statistic to check the hypothesis is given by:

And is distributed with n-2 degreed of freedom. df=n-2

For this case since the calculated values is on the interval (-0.878, 0.878) we can FAIL to reject the null hypothesis and on this case the correlation would be not significant at 5% of significance

Step-by-step explanation:

In order to test the hypothesis if the correlation coefficient it's significant we have the following hypothesis:

Null hypothesis:

Alternative hypothesis:

The statistic to check the hypothesis is given by:

And is distributed with n-2 degreed of freedom. df=n-2

For this case since the calculated values is on the interval (-0.878, 0.878) we can FAIL to reject the null hypothesis and on this case the correlation would be not significant at 5% of significance

false

step-by-step explanation: