The sample correlation coefficient between X and Y is 0.375.It has been found out that the p- value is 0.256 when testing H0 : $\rho$= 0 against the one-sided alternative H1 : $\rho$ $\gt$ 0 .To testH0 : $\rho$= 0 against the two-sided alternative H1 : $\rho$$\neq$0 at a significance level of 0.1, the p-value is
A)0.256 / 2
B)(0.256)(2)
C)1- 0.256
D)1- 0.256 / 2

Question

Quizplus · Accepted Answer

For a two-sided test, the p-value from a one-sided test is doubled because we are interested in the significance of the correlation being either positive or negative, not just in one direction as in the one-sided test.

The Sample Correlation Coefficient Between X and Y Is 0 ρ\rhoρ

The Sample Correlation Coefficient Between X and Y Is 0 $\rho$