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The Sample Correlation Coefficient Between X and Y Is 0

question 179

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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 0.2, the p-value is

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