Find 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, α = 0.01 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.) A. The rejection regions are z< OB. The rejection region is z< OC. The rejection region is z> Choose the correct graph of the rejection region below. O A. 0 Z Q and z> O B. -Z 0 z Q ✔ O C. -z0z Q Q O D. 0z 4 Q

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter12: Probability
Section12.4: Discrete Random Variables; Applications To Decision Making
Problem 28E
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**Title: Finding Critical Values and Rejection Regions for a Right-tailed Z-Test**

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**Objective:**
This lesson aims to determine the critical value(s) and rejection region(s) for a right-tailed z-test with a significance level, α, of 0.01. The answer will include an appropriate graph that visually represents the rejection region.

**Problem Statement:**
Find the critical value(s) and rejection region(s) for the type of z-test with a level of significance, α, of 0.01.
*Given:* Right-tailed test, α = 0.01

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**Steps to Determine Critical Value(s):**

1. **Identify the Critical Value:**
   * The critical value(s) is/are z = _____.
   * (Note: Round to two decimal places as needed. Use a comma to separate answers as needed.)

2. **Select the Rejection Region:**
   Choose 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 regions are z < _____ and z > _____.
- B. The rejection region is z < _____.
- C. The rejection region is z > _____.

**Example of Correct Rejection Region Graphs:**

Choose the correct graph of the rejection region below.

- **A.**
  ![Graph A](link)
  *This graph shows the rejection regions for both tails*.

- **B.**
  ![Graph B](link)
  *This graph indicates the rejection regions for both the left and right tails*.

- **C.**
  ![Graph C](link)
  *This graph does not indicate the correct region for a right-tailed test*.

- **D.**
  ![Graph D](link)
  *This graph shows the correct rejection region for a right-tailed test*.

**Explanation of Graphs:**
- **Option A:** Shows both tails; however, it may not be appropriate for a right-tailed test.
- **Option B:** Displays shaded regions on both sides of the mean (left and right tails).
- **Option C:** Shows neither tail which does not correspond to a rejection region.
- **Option D:** Illustrates the correct shaded region on the right side of the graph, suitable for our right-tailed test.

**Conclusion:**
After identifying the critical value and appropriate rejection region
Transcribed Image Text:**Title: Finding Critical Values and Rejection Regions for a Right-tailed Z-Test** --- **Objective:** This lesson aims to determine the critical value(s) and rejection region(s) for a right-tailed z-test with a significance level, α, of 0.01. The answer will include an appropriate graph that visually represents the rejection region. **Problem Statement:** Find the critical value(s) and rejection region(s) for the type of z-test with a level of significance, α, of 0.01. *Given:* Right-tailed test, α = 0.01 --- **Steps to Determine Critical Value(s):** 1. **Identify the Critical Value:** * The critical value(s) is/are z = _____. * (Note: Round to two decimal places as needed. Use a comma to separate answers as needed.) 2. **Select the Rejection Region:** Choose 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 regions are z < _____ and z > _____. - B. The rejection region is z < _____. - C. The rejection region is z > _____. **Example of Correct Rejection Region Graphs:** Choose the correct graph of the rejection region below. - **A.** ![Graph A](link) *This graph shows the rejection regions for both tails*. - **B.** ![Graph B](link) *This graph indicates the rejection regions for both the left and right tails*. - **C.** ![Graph C](link) *This graph does not indicate the correct region for a right-tailed test*. - **D.** ![Graph D](link) *This graph shows the correct rejection region for a right-tailed test*. **Explanation of Graphs:** - **Option A:** Shows both tails; however, it may not be appropriate for a right-tailed test. - **Option B:** Displays shaded regions on both sides of the mean (left and right tails). - **Option C:** Shows neither tail which does not correspond to a rejection region. - **Option D:** Illustrates the correct shaded region on the right side of the graph, suitable for our right-tailed test. **Conclusion:** After identifying the critical value and appropriate rejection region
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