A Decision Maker Wishes to Test the Following Null and Alternative

question 30

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 p-value approach,what decision should be reached about the null hypothesis?

• A)Since p-value = 0.0018 < α/2 = 0.025,reject the null hypothesis
• B)Since p-value = 0.0415 > α/2 = 0.025,do not reject the null hypothesis.
• C)Since p-value = 0.0033 < α/2 = 0.025,reject the null hypothesis.
• D)Since p-value = 0.0375 > α/2 = 0.025,do not reject the null hypothesis.

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