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 : $\rho$ = 0 .To testH0 : $\rho$$\neq$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

For a one-sided test, the p-value is adjusted to reflect the direction of the test. Since the original p-value of 0.256 is for a two-sided test, for a one-sided test where we are testing if the correlation is less than 0, we take half of the two-sided p-value and subtract it from 1, resulting in 1 - 0.256/2.

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

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