Question

If you use a 0.01 level of significance in a​ two-tail

hypothesis​ test, what is your decision rule for rejecting H0​:
μ=14.3 if you use the Z​ test?
Which of the following decision rules"

Answer 1

The decision rule for rejecting the null hypothesis using a two-tail Z-test at a 0.01 level of significance involves comparing the Z-test statistic to the critical value.

Step-by-step explanation:

To determine the decision rule for rejecting the null hypothesis H0: μ = 14.3 using a two-tail Z-test, we need to consider the significance level α.

For a 0.01 level of significance (α = 0.01), we need to divide this level by 2 to account for the two tails of the distribution.

So, the decision rule is to reject H0 if the Z-test statistic falls outside the critical region, which is determined by the critical Z-value in the Z-table(s).