You wish to conduct a hypothesis test to determine if a bivariate data set has a significant correlation among the two variables. That is, you wish to test the claim that there is a correlation ($\displaystyle {H}_{{a}}:\rho\ne{0}$). You have a data set with 38 subjects, in which two variables were collected for each subject. You will conduct the test at a significance level of $\displaystyle \alpha={0.01}$.

Find the critical value for this test (use Table A-6 in the Appendix of Triola, but pick the closest conservative value from the table).
r_c.v. = $\displaystyle \pm$

Report answers accurate to three decimal places.