The Sample Correlation Coefficient Between X and Y Is 0

question 16

Multiple Choice

The sample correlation coefficient between X and Y is 0.375. It has been found out that the p-value is 0.744 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) 0.744/2.
• B) (0.744)(2).
• C) 1 - 0.744.
• D) (1 - 0.744)(2).

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Definitions:

Fluid Lava

Lava that has low viscosity, allowing it to flow readily and cover large areas, often associated with less explosive volcanic eruptions.

Lava Flows

The movement of lava across the surface of the Earth, typically from a volcanic eruption, cooling to form volcanic rock.

Ash Columns

Vertical plumes of volcanic ash and gas that are ejected into the atmosphere during an explosive volcanic eruption.

Lava Domes

Rounded, bulbous mounds of viscous lava that are formed by the slow eruption of lava from a volcano.