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?

**Answer**

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

Exercise \(\PageIndex{7}\)

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