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

question 165

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

Social Interaction

The process by which individuals act and react in relation to others, forming the basis of social relationships.

Emotional Ties

Bonds formed between individuals based on emotional connections, affection, or personal relationships.

Population

The total number of people inhabiting a specific area or the entire planet, essential for demographic studies.

Mechanical Solidarity

A concept in sociology that describes a form of social cohesion derived from the homogeneity of individuals in a society, often found in traditional and small-scale societies.