Use the Rank Correlation Coefficient to Test for a Correlation $\mathrm { r } _ { \mathrm { S } },$

question 66

Essay

Use the rank correlation coefficient to test for a correlation between the two variables.
-Given that the rank correlation coefficient, r $\mathrm { r } _ { \mathrm { S } },$ , for 33 pairs of data is 0.338, test the claim of
correlation between the two variables. Use a significance level of 0.01.

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Definitions:

Proposition

A statement or assertion that expresses a judgment or opinion; in logic, it refers to a declarative sentence that is either true or false.

Venn Diagram

A diagrammatic representation of sets, their relationships, and intersections, used to visually illustrate logical relationships.

Four Terms

In logic, the fallacy of four terms (quaternio terminorum) occurs when a syllogism has four distinct terms, making it invalid.

Two Dimensions

A term referring to a plane or surface that has length and width, but no depth.