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 against the two-sided alternative To test against the one-sided alternative 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

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  against the two-sided alternative  To test  against the one-sided alternative  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

Quizplus · Accepted Answer

When testing against a one-sided alternative, the p-value needs to be halved only if the alternative is "less than" or "greater than". In this case, since the alternative is just "greater than", we don't need to halve the p-value. Therefore, the p-value for this test is just 1-0.256.

The Sample Correlation Coefficient Between X and Y Is 0