g If a hypothesis test with a significance level of α rejects H0: μ1=μ2 in favor of Ha: μ1≠μ2, then thecorresponding (1 - α) % confidence interval for (μ1 - μ2) does not contain zero. A) TrueB) False

The statement, (1 - α) % confidence interval for (μ₁ - μ₂) does not contain zero is TRUE.

Step-by-step explanation:

The hypothesis for a test is defined as follows:

H₀: μ₁ = μ₂ vs. Hₐ: μ₁ ≠ μ₂

It is provided that the test was rejected st the significance level α%.

If a decision is to made using the confidence interval the conditions are:

If the null hypothesis value is not included in the (1 - α) % confidence interval then the null hypothesis will be rejected and vice versa.

In this case the null hypothesis value is:

H₀: μ₁ - μ₂ = 0.

If the value 0 is not included in the (1 - α) % confidence interval for the difference between two means, then the null hypothesis will be rejected.

Thus the statement, (1 - α) % confidence interval for (μ1 - μ2) does not contain zero is TRUE.