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 two-sided alternative H1 : $\rho$ $\neq$ 0 .To testH0 : $\rho$ =0 against the one-sided alternative H1 : $\rho$ = 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

When converting from a two-sided to a one-sided test, the p-value for the one-sided test is half of the two-sided test if the direction of the alternative hypothesis aligns with the sign of the correlation coefficient.

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

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