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:

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