find the critical value(s) and rejection region(s) for the type of z - test with level of significance α…

find the critical value(s) and rejection region(s) for the type of z - test with level of significance α. include a graph with your answer.\ntwo - tailed test, α = 0.03\nthe critical value(s) is/are z = (round to two decimal places as needed. use a comma to separate answers as needed.)

find the critical value(s) and rejection region(s) for the type of z - test with level of significance α. include a graph with your answer.\ntwo - tailed test, α = 0.03\nthe critical value(s) is/are z = (round to two decimal places as needed. use a comma to separate answers as needed.)

Answer

Explanation:

Step1: Find the area in each tail

For a two - tailed test, the significance level (\alpha = 0.03) is split evenly between the two tails. So the area in each tail is (\frac{\alpha}{2}=\frac{0.03}{2}=0.015).

Step2: Find the critical (z) - values

We look for the (z) - score such that the area to the left of (z) is (1 - 0.015=0.985) and the area to the left of (-z) is (0.015). Using a standard normal table or a calculator with a normal distribution function (e.g., for (P(Z\leq z)=0.985), (z\approx1.81) and for (P(Z\leq - z)=0.015), (z\approx - 1.81))

Answer:

The critical values are (z=- 1.81,1.81)