Correlation Hypothesis Test Example. Let s perform the hypothesis test on the husband s age and wife s age data in which the sample correlation based on n 170 couples is r 0 939. To test h 0 colon rho 0 against the alternative h a colon rho 0 we obtain the following test statistic.
During the study data for n 200 patients were collected and grouped according to the. Since the test statistic is greater than the critical value 2 760 2 042 we reject the null hypothesis that the population correlation coefficient is 0 and thus the correlation coefficient is significantly different from 0. We decide this based on the sample correlation coefficient r and the sample size n.
A sample of 40 couples from london is taken comparing the husband s iq with his wife s.
We can use theorem 1 to test whether the correlation coefficients of two populations are equal based on taking a sample from each population and comparing the correlation coefficients of the samples. During the study data for n 200 patients were collected and grouped according to the. Finally we perform either one of the following tests. ρ1 is the value of the population correlation under the alternative hypothesis.
