Correlation Test Hypothesis. Using a p value to make a decision. The null hypothesis is stated as.
The null hypothesis is stated as. Corrttest r size tails the p value of the one sample test of the correlation coefficient using theorem 1 where r is the observed correlation coefficient based on a sample of the stated size. These refer to normality and homogeneity of variance in the array of possible values of one variable at each value of the other variable.
Key points pearson s correlation coefficient r r tells us about the strength of the linear relationship between x x and y y.
H 0 rho 0 that is the correlation coefficient in the population is 0. These refer to normality and homogeneity of variance in the array of possible values of one variable at each value of the other variable. Using a p value to make a decision. ρ 0 null hypothesis h 0.