Chapter 10.1, Problem 36BB

Finding Critical r Values Table A-6 lists critical values of r for selected values of n and α. More generally, critical r values can be found by using the formula

$r=\frac{t}{\sqrt{t^{\text{2}}+n-2}}$

where the t value is found from the table of critical t values (Table A-3) assuming a two-tailed case with n − 2 degrees of freedom. Use the formula for r given here and in Table A-3 (with n − 2 degrees of freedom) to find the critical r values corresponding to H₁: ρ ≠ 0, α = 0.02, and n = 27.