Problem

Part 2 of 3 Points: 0.250 Find the critical value(s) and rejection region(s) for the type of z-test with level of significance $\alpha$. Include a graph with your answer. Two-tailed test, $\alpha=0.03$ The critical value(s) is/are $z=-2.17,2.17$ (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 region is $z>$ C. The rejection regions are $z<$ and $z>$ Get more help .

Solution

Step 1 :In a two-tailed test, the rejection regions are at both ends of the distribution. The critical values are the z-scores that separate the rejection regions from the non-rejection region.

Step 2 :In this case, the critical values are given as -2.17 and 2.17.

Step 3 :Therefore, the rejection regions are \(z<-2.17\) and \(z>2.17\).

Step 4 :The graph shows a normal distribution with the rejection regions shaded in red. The critical values of -2.17 and 2.17 are marked with red vertical lines. These are the z-scores that separate the rejection regions from the non-rejection region.

Step 5 :\(\boxed{\text{The rejection regions are } z<-2.17 \text{ and } z>2.17}\)

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