A Decision Maker Wishes to Test the Following Null and Alternative

question 114

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
H_A : 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:

Merit

Merit refers to the quality of being particularly good or worthy, especially so as to deserve praise or reward.

Generalized

Referring to something that is widespread, not specific, affecting all or most parts of something.

Sample

A subset of individuals or elements selected from a larger population, used to make inferences or observations about the population as a whole.

Correlational

Pertaining to a research method that examines the relationship between two or more variables to determine if they are associated.