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: ρ = 0 against the one-sided alternative H₁: ρ 0. To test H₀: ρ = 0 against the two-sided alternative H₁: ρ ≠ 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

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: ρ = 0 against the one-sided alternative H₁: ρ > 0. To test H₀: ρ = 0 against the two-sided alternative H₁: ρ ≠ 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

Quizplus · Accepted Answer

For a two-sided test, the p-value is double the one-sided p-value, so it is (0.256)(2).

The Sample Correlation Coefficient Between X and Y Is 0