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.

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.