# 12.5E: Testing the Significance of the Correlation Coefficient (Exercises)

- Page ID
- 4692

Exercise 12.5.5

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

Exercise 12.5.6

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

**Answer**

\(H_{a}: \rho \neq 0\)

Exercise 12.5.7

If the level of significance is 0.05 and the \(p\text{-value}\) is \(0.04\), what conclusion can you draw?