A 5 ttest is performed on the correlation coefficient If we

A 5% t-test is performed on the correlation coefficient. If we reject the null hypothesis, what can we conclude about the correlation in the population?

Solution

For correlation testing of hypothesis we put null hypothesis as

H₀: ? = 0

If we reject the null hypothesis at 5% then it implies that our assumption that two variables are not correlated is rejected.

There is a correlation between the two variables and hence r not equals 0