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The Sample Correlation Coefficient Between X and Y Is 0

question 173

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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 0.1, the p-value is ________.


Definitions:

Olfactory Receptors

Specialized proteins located in the cell membranes of olfactory receptor neurons, responsible for detecting airborne molecules and initiating the perception of smell.

Olfactory Bulb

A structure in the forebrain involved in olfaction, or the sense of smell, where odor information from the nose is processed and sent to the brain.

Concentration

Amount of solute per unit volume of a solution.

Cones

Photosensitive cells located in the retina of the eye, responsible for color vision and the ability to perceive fine details.

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