# Testing the Significance of the Correlation Coefficient (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?

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