3. Given a sample correlation coefficient r 0.925, relation to decide whether th

Question

3. Given a sample correlation coefficient r 0.925, relation to decide whether the e population correlation coefficient e is A. The =0.01. Answer the following questions. ( 10 critical value, from Table 11, is a. 0.917 d. 0.857 b. 0.875 C. 0.959 B. Th e population correlation coefficient is Significant beca value a. use the absolute value of r is greater than the critical b. c. I significant because the absolute value of r is less than the critical valu nsignificant because the absolute value of r is greater than the critical In value d. significant because the absolute value of r is less than the critical value

Explanation / Answer

a) degree of freedom, df = n-2 = 5

t* = 4.032 at 0.01 significance level

t = r*sqrt(n-2)/sqrt(1-r^2)

4.032 = r*sqrt(5)/sqrt(1-r^2)

r = 0.875(option B)

b) 0.925 > 0.875

Answer: a) Significant because the absolute value of r is greater than the critical value

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