When We Carry Out a Chi-Square Test of Independence, as the Differences

question 30

Multiple Choice

When we carry out a chi-square test of independence, as the differences between the respective observed and expected frequencies decrease, the probability of concluding that the row variable is independent of the column variable

• A) decreases.
• B) increases.
• C) may decrease or increase depending on the number of rows and columns.
• D) will be unaffected.

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Definitions:

Modus Tollens

A logical argument form where the contrapositive of a premise is used to infer the negation of the hypothesis.

Hypothetical Syllogism

A logical argument composed of two conditional statements and a conclusion, based if the first premise is true, then the second one follows.

Modus Ponens

A valid form of argument in which if a conditional statement (“if p then q”) and its antecedent (“p”) are true, then the consequent (“q”) is also true.

Modus Tollens

A form of deductive argument that takes the form "If P, then Q. Not Q. Therefore, not P," which is used to derive a conclusion from a hypothesis by negation.