The Sample Correlation Coefficient Between X and Y Is 0

question 161

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 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) ₀.₂₅₆/₂.
• B) ₍₀.₂₅₆₎₍₂₎.
• C) ₁ ₋ ₀.₂₅₆.
• D) ₁ ₋ ₀.₂₅₆/₂.

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Definitions:

Standard Deviation

An indicator of the degree to which a dataset's values vary or are spread, showing the distance of the values from the average.

Probability

The measure or quantification of how likely an event is to occur, expressed as a number between 0 (impossible) and 1 (certain).

NORM.DIST

A function in statistics that returns the normal distribution for a specified mean and standard deviation.

Standard Error

The standard deviation of the sampling distribution of a statistic, often used to estimate the precision of a sample mean.