The Sample Correlation Coefficient Between X and Y Is 0 $\rho$

question 137

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 : $\rho$ = 0 against the two-sided alternative H1 : $\rho$ $\neq$ 0 .To testH0 : $\rho$ =0 against the one-sided alternative H1 : $\rho$ = 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:

Outliers

In statistics, outliers are data points that differ significantly from other observations, potentially indicating experimental error or variability.

IQR

The Interquartile Range, a measure of statistical dispersion being the difference between the 75th and 25th percentiles.

Shape

In statistics, the geometric configuration of a data distribution, which can be described by terms like symmetrical, skewed, or bimodal.

Symmetric

Describes an object or distribution that is identical on both sides of a central point or axis.