A Decision Maker Wishes to Test the Following Null and Alternative

question 46

Multiple Choice

A decision maker wishes to test the following null and alternative hypotheses using an alpha level equal to 0.05: H0 : μ1 - μ2 = 0 HA : μ1 - μ2 ≠ 0 The population standard deviations are assumed to be known. After collecting the sample data, the test statistic is computed to be z = 1.78 Using the test statistic approach, what conclusion should be reached about the null hypothesis?

• A) Because z = 2.40 > 1.96, we reject the null hypothesis.
• B) Because z = 2.03 > 1.96, we reject the null hypothesis.
• C) Because z = 1.78 < 1.96, we do not reject the null hypothesis.
• D) Because z = 1.45 < 1.645, we do not reject the null hypothesis.

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Definitions:

Neurotic Needs

Specific irrational needs that individuals depend on for their emotional stability, despite causing them long-term difficulties, as identified in theories of personality.

Neurotic Need

Excessive, compulsive desires that occur in an individual due to psychological conflicts or anxieties.

Unconscious Forces

The underlying, often hidden, motivations and desires that influence thoughts, feelings, and behaviors, according to psychoanalytic theory.

Situational Variables

External factors or conditions that can influence the outcome of research or the behavior of individuals in a given context.