# 10.E: Testing the Significance of the Correlation Coefficient (Optional Exercises)


Exercise $$\PageIndex{5}$$

When testing the significance of the correlation coefficient, what is the null hypothesis?

Exercise $$\PageIndex{6}$$

When testing the significance of the correlation coefficient, what is the alternative hypothesis?

$$H_{a}: \rho \neq 0$$
Exercise $$\PageIndex{7}$$
If the level of significance is 0.05 and the $$p\text{-value}$$ is $$0.04$$, what conclusion can you draw?