BB Finding Critical ?r? Values? Table 1 lists critical values of ?r? for selected values of ?n and ???. More generally, critical ?r? values can be found by using the formula where the ?t? value is found from the table of critical ?t? values (Table) assuming a two-tailed case with ?n? ? 1 degrees of freedom. Use the formula for ?r? given here and Table 2 (with ?n? – 2 degrees of freedom) to find the critical ?r? values corresponding to ?H?1: ??? ? 0, ? = 0.02, and ?n? = 27. Table 1? Critical Values of the Pearson Correlation Coefficient ?r Table 2? ?t? Distribution: Critical ?t? Values

Solution 34BB Step1: From the above given problem we have, t r = t +n2 Where t = critical value we can get from table two tailed test with (n-2) degrees of freedom I.e, t = 2.485 Consider the hypothesis H :0= 0 H :1 = / 0, = 0.02, and sample size n = 27 Step2: Our aim is to find the critical value of r Step3: To find the critical value of r we can use the given formula r = t t +n2 = 2.485 (2.485) +272 2.485 = 31.1752 = 2.485 5.5834 = 0.4450 Therefore, the value of critical value is r = 0.4450