the critical value(s) and rejection region(s) for the type of z-test with level of significance x. Include a graph with your answer. Right-tailed test, a = 0.005 critical value(s) is/are z= nd to two decimal places as needed. Use a comma to separate answers as needed.) ct the correct choice below and, if necessary, fill in the answer box to complete your choice. nd to two decimal places as needed.) The rejection region is z> The rejection region is z< The rejection regions are z< and z> ose the correct graph of the rejection region below. -Z 0 Z Q Q O B. 0 Z Q Q O C. -z0z Q Q O D. 2 0 Z Q

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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**Title: Finding Critical Values and Rejection Regions for Z-Test**

---

**Objective:**
Determine the critical value(s) and rejection region(s) for a right-tailed Z-test with a significance level of \(\alpha = 0.005\). A graph must be included to illustrate the rejection region(s).

---

**Instructions:**

1. **Calculate the Critical Value(s):**
   The critical value(s) are \( z = \_\_\_\) 
   (Round to two decimal places as needed. Use a comma to separate answers if there are multiple critical values.)

2. **Select the Correct Rejection Region:**
   Choose the appropriate rejection region and enter the necessary value in the provided answer box.
   (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 \( z > \_\_\_ \).

3. **Choose the Correct Graph:**
   Select the correct graph that depicts the rejection region(s).

   - **A.**
      ![Option A](URL)
      *Graph description: A normal distribution curve with the left and right tails shaded in light blue.*
   
   - **B.**
      ![Option B](URL)
      *Graph description: A normal distribution curve with the right tail shaded in light blue.*
   
   - **C.**
      ![Option C](URL)
      *Graph description: A normal distribution curve with both tails shaded in light blue.*

   - **D.**
      ![Option D](URL)
      *Graph description: A normal distribution curve with the area under the curve (not tails) shaded in light blue.*

---

**Note**: The images provided visually represent the options for rejecting the null hypothesis based on the Z-test. Be attentive to match the correct critical value and region with its corresponding graphical representation.

---

**Conclusion:**
Upon computing the critical value, selecting the appropriate rejection region, and matching it with the correct graph, you will effectively determine the statistical significance of your Z-test result at \(\alpha = 0.005\).

---

This exercise assists in understanding hypothesis testing, critical values, and rejection regions using Z-tests, an essential component of statistical analysis.
Transcribed Image Text:**Title: Finding Critical Values and Rejection Regions for Z-Test** --- **Objective:** Determine the critical value(s) and rejection region(s) for a right-tailed Z-test with a significance level of \(\alpha = 0.005\). A graph must be included to illustrate the rejection region(s). --- **Instructions:** 1. **Calculate the Critical Value(s):** The critical value(s) are \( z = \_\_\_\) (Round to two decimal places as needed. Use a comma to separate answers if there are multiple critical values.) 2. **Select the Correct Rejection Region:** Choose the appropriate rejection region and enter the necessary value in the provided answer box. (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 \( z > \_\_\_ \). 3. **Choose the Correct Graph:** Select the correct graph that depicts the rejection region(s). - **A.** ![Option A](URL) *Graph description: A normal distribution curve with the left and right tails shaded in light blue.* - **B.** ![Option B](URL) *Graph description: A normal distribution curve with the right tail shaded in light blue.* - **C.** ![Option C](URL) *Graph description: A normal distribution curve with both tails shaded in light blue.* - **D.** ![Option D](URL) *Graph description: A normal distribution curve with the area under the curve (not tails) shaded in light blue.* --- **Note**: The images provided visually represent the options for rejecting the null hypothesis based on the Z-test. Be attentive to match the correct critical value and region with its corresponding graphical representation. --- **Conclusion:** Upon computing the critical value, selecting the appropriate rejection region, and matching it with the correct graph, you will effectively determine the statistical significance of your Z-test result at \(\alpha = 0.005\). --- This exercise assists in understanding hypothesis testing, critical values, and rejection regions using Z-tests, an essential component of statistical analysis.
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