Answered You can hire a professional tutor to get the answer.
Test hypothesis population correlation coefficient is positive: Sample size = 27 sample correlation coefficient found to be 0. Using alpha = 0.
Test hypothesis population correlation coefficient is positive: Sample size = 27 & sample correlation coefficient found to be 0.40. Using alpha = 0.05 test the hypothesis that population correlation is positive. I set H0 : rho = 0 & H1 : rho not equal 0. Found critical value using df = 25 to be 2.060. Therefore rejection region = -2.060 < t < 2.060
t = r / sqrt((1 - r^2)/ (n - 2)) = 2.182179. Two-tailed test so interval is 0.02 < P-value < 0.05. Since H0 <= alpha (0.05), I reject H0 and conclude correlation is not zero & is therefore positive (> 0). Am I correct?
