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 = 0.07 The critical value(s) is/are z = (Round to two decimal places as needed. Use a comma to separate answers as needed.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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**Finding Critical Values and Rejection Regions for a Z-Test**

In this exercise, we focus on determining the critical value(s) and corresponding rejection region(s) for a two-tailed z-test with a specified level of significance, denoted by α.

**Parameters:**
- **Test Type:** Two-tailed
- **Level of Significance (α):** 0.07

**Task:**
- Calculate the critical value(s), z
- Round the results to two decimal places
- If there is more than one critical value, separate them with a comma

**Instructions:** 

Determine the critical z-values that separate the acceptance region from the rejection regions on a standard normal distribution curve. These values are crucial in decision-making processes, determining whether to reject or fail to reject the null hypothesis.

**Graph Explanation:**
A typical graph accompanying this task would depict a normal distribution (bell curve) with two shaded areas in the tails. These shaded areas represent the rejection regions, each containing 0.035 of the data (since α/2 = 0.035 for a two-tailed test with α = 0.07). The critical z-values form the boundaries between the rejection regions and the central acceptance region of the graph.
Transcribed Image Text:**Finding Critical Values and Rejection Regions for a Z-Test** In this exercise, we focus on determining the critical value(s) and corresponding rejection region(s) for a two-tailed z-test with a specified level of significance, denoted by α. **Parameters:** - **Test Type:** Two-tailed - **Level of Significance (α):** 0.07 **Task:** - Calculate the critical value(s), z - Round the results to two decimal places - If there is more than one critical value, separate them with a comma **Instructions:** Determine the critical z-values that separate the acceptance region from the rejection regions on a standard normal distribution curve. These values are crucial in decision-making processes, determining whether to reject or fail to reject the null hypothesis. **Graph Explanation:** A typical graph accompanying this task would depict a normal distribution (bell curve) with two shaded areas in the tails. These shaded areas represent the rejection regions, each containing 0.035 of the data (since α/2 = 0.035 for a two-tailed test with α = 0.07). The critical z-values form the boundaries between the rejection regions and the central acceptance region of the graph.
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