Correlation Hypothesis Test Example. ρ1 is the value of the population correlation under the alternative hypothesis. The formula for the test statistic is t r n 2 1 r2 t r n 2 1 r 2.
The p value is the combined area in both tails. Hypothesis testing solved examples questions and solutions by march 11 2018 november 5 2020. The hypothesis test lets us decide whether the value of the population correlation coefficient rho is close to zero or significantly different from zero.
During the study data for n 200 patients were collected and grouped according to the.
The formula for the test statistic is t r n 2 1 r2 t r n 2 1 r 2. 32 2 t 0 025. As an example suppose you computed r 0 801 r 0 801 using n 10 n 10 data points. The value of the test statistic t is shown in the computer or calculator output along with the p value.
