The Sample Correlation Coefficient Between X and Y Is 0

question 193

Multiple Choice

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

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Definitions:

Hypothetical Hormone

A theoretical hormone proposed to exist based on observed physiological effects, but not yet identified or isolated.

Coleoptile

A protective sheath covering the emerging shoot in monocotyledonous plants, such as grasses, allowing the young shoot to pierce through the soil.

Unidirectional Light

Light that travels in a single direction, often used in scientific studies to understand plant growth or behavior.

Thigmomorphogenesis

The growth and structural change in plants in response to mechanical stress or touch.