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