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find the critical value(s) and rejection region(s) for the type of z - …

Question

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.
right - tailed test, α = 0.005
the critical value(s) is/are z = 2.58.
(round to two decimal places as needed. use a comma to separate answers as needed.)
select the correct choice below and, if necessary, fill in the answer box to complete your choice.
(round to two decimal places as needed.)
○ a. the rejection region is z <
○ b. the rejection regions are z < and z >
○ c. the rejection region is z >

Explanation:

Step1: Understand the right - tailed test

For a right - tailed z - test, the rejection region is on the right side of the critical value.

Step2: Determine the rejection region

Since the critical value \(z = 2.58\) (for a right - tailed test with \(\alpha=0.005\)), the rejection region is \(z>2.58\)

Answer:

C. The rejection region is \(z > 2.58\)