Find the critical value(s) and rejection region(s) for the type of z-test with level of significance a. Include a graph with your answer. Two-tailed test, a = 0.005 The critical value(s) is/are z= | (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.) O A. The rejection regions are z< and z> O B. The rejection region is z< OC. The rejection region is z> Choose the correct graph of the rejection region below. O A. Oc. OD. в. 0 z O z

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**Problem Statement:**

Find the critical value(s) and rejection region(s) for the type of z-test with a level of significance \(\alpha\).

- **Two-tailed test, \(\alpha = 0.005\)**

---

**Instructions:**

1. **Determine the critical value(s):** 
   - The critical value(s) is/are \(z = \) [Answer Box]
   - **(Round to two decimal places as needed. Use a comma to separate answers as needed.)**

2. **Select the correct choice below and complete your selection if necessary:**
   - **(Round to two decimal places as needed.)**

   - \( \circ \) A. The rejection regions are \(z <\) [Box] and \(z >\) [Box]
   - \( \circ \) B. The rejection region is \(z <\) [Box]
   - \( \circ \) C. The rejection region is \(z >\) [Box]

---

**Graph Selection:**

- Choose the correct graph of the rejection region below:

  - \( \circ \) A. [Graph A]
  
    - Description: Two shaded areas on the tails of the normal distribution, symmetrically located on both sides of the mean (0), with equal areas under the curves from the left side approaching \(-z\) and right side approaching \(z\).

  - \( \circ \) B. [Graph B]
  
    - Description: A single shaded area on the left side of the normal distribution, extending from \(-\infty\) to a point marked just below zero.

  - \( \circ \) C. [Graph C]
  
    - Description: Two shaded areas on the tails of the normal distribution, symmetrically positioned similar to Graph A.

  - \( \circ \) D. [Graph D]
  
    - Description: A single shaded area on the right side of the normal distribution, extending from a point marked just above zero to \(+\infty\).

**Note:** Ensure that the graphs represent your selected rejection regions accurately.
Transcribed Image Text:**Problem Statement:** Find the critical value(s) and rejection region(s) for the type of z-test with a level of significance \(\alpha\). - **Two-tailed test, \(\alpha = 0.005\)** --- **Instructions:** 1. **Determine the critical value(s):** - The critical value(s) is/are \(z = \) [Answer Box] - **(Round to two decimal places as needed. Use a comma to separate answers as needed.)** 2. **Select the correct choice below and complete your selection if necessary:** - **(Round to two decimal places as needed.)** - \( \circ \) A. The rejection regions are \(z <\) [Box] and \(z >\) [Box] - \( \circ \) B. The rejection region is \(z <\) [Box] - \( \circ \) C. The rejection region is \(z >\) [Box] --- **Graph Selection:** - Choose the correct graph of the rejection region below: - \( \circ \) A. [Graph A] - Description: Two shaded areas on the tails of the normal distribution, symmetrically located on both sides of the mean (0), with equal areas under the curves from the left side approaching \(-z\) and right side approaching \(z\). - \( \circ \) B. [Graph B] - Description: A single shaded area on the left side of the normal distribution, extending from \(-\infty\) to a point marked just below zero. - \( \circ \) C. [Graph C] - Description: Two shaded areas on the tails of the normal distribution, symmetrically positioned similar to Graph A. - \( \circ \) D. [Graph D] - Description: A single shaded area on the right side of the normal distribution, extending from a point marked just above zero to \(+\infty\). **Note:** Ensure that the graphs represent your selected rejection regions accurately.
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