When the Hypotheses H₀: μ ≥ 100 and H_a: μ

question 50

Multiple Choice

When the hypotheses H₀: μ ≥ 100 and H_a: μ < 100 are being tested at a level of significance of α, the null hypothesis will be rejected if the test statistic z is _____.

• A) > zα
• B) > -zα
• C) < -zα
• D) < 100

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Definitions:

Modus Tollens

A logical argument form that infers the denial of an antecedent from the denial of the consequent in a conditional statement.

Hypothetical Syllogism

A form of logical argument where two conditional statements lead to a conclusion if the first condition is true, then the conclusion follows.

Modus Ponens

A form of logical argument that concludes a certain consequent from a single premise in the form "If P, then Q" and P, therefore Q.

Modus Tollens

A form of deductive argument in logic that, if the implication is true, then denies the consequent to conclude the denial of the antecedent.