The Sample Correlation Coefficient Between X and Y Is 0

question 168

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 : ? = 0 against the two- sided alternative H₀: ?? 0. To test H₀ :? = 0 against the one- sided alternative H0 : ? > 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.

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Definitions:

Jugular Veins

Veins that pass to the superior vena cava just above the right atrium.

90-degree Angle

An angle that measures 90 degrees, forming a perfect quarter circle or right angle.

45-degree Angle

A precise measurement where two lines or surfaces meet to form an angle that is half the size of a right angle, often used in geometry and various applications to denote a moderate inclination.

15-degree Angle

A measure of rotation that equals one-sixteenth of a complete circle's rotation; it's a small acute angle commonly used in geometry.