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 : q = 0 against the one- sided alternative H₀ : q 0. To test H₀ : q = 0 against the two- sided alternative H₀ : q × 0 at a significance level of 0.2, the p- value is A) (0.256)(2). B) 1 - 0.256/2. C) 0.256/2. D) 1 - 0.256.

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 : q = 0 against the one- sided alternative H₀ : q > 0. To test H₀ : q = 0 against the two- sided alternative H₀ : q × 0 at a significance level of 0.2, the p- value is A) (0.256)(2). B) 1 - 0.256/2. C) 0.256/2. D) 1 - 0.256.

Quizplus · Accepted Answer

The p-value for a two-sided test is twice the p-value of a one-sided test, so it is (0.256)(2).

The Sample Correlation Coefficient Between X and Y Is 0