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:

Descartes

A French philosopher, mathematician, and scientist, considered the father of modern philosophy, known for his statement "Cogito, ergo sum" ("I think, therefore I am").

Jean-Paul Sartre

A French existentialist philosopher, playwright, and novelist known for his exploration of freedom, existentialism, and the absurd.

Erich Fromm

A German social psychologist, psychoanalyst, sociologist, and humanistic philosopher known for his theories on the tethers of freedom.

Escape From Freedom

A concept referring to the evasion of personal responsibility that leads individuals to seek refuge in authoritarian systems.