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 = 0.10 The critical value(s) is/are z= (Round to two decimal places as needed. Use a comma to separate answers as needed.)
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 = 0.10 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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![**Finding Critical Values and Rejection Regions for a Right-Tailed Z-Test**
### Problem Statement:
Find the critical value(s) and rejection region(s) for the type of z-test with the level of significance \( \alpha \). Include a graph with your answer.
**Right-tailed test, \( \alpha = 0.10 \)**.
---
### Solution:
The critical value(s) is/are \( z = \) [ ]
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
---
### Explanation of the Graph:
A right-tailed test involves finding the area to the right of the critical value in the standard normal distribution. The area corresponds to the level of significance \( \alpha \).
1. **Standard Normal Distribution Curve**: The curve is symmetrical about the mean (0) and extends infinitely in both directions.
2. **Critical Value (z\(_\alpha\))**: The point on the z-axis that creates an area of \( \alpha \) in the right tail of the distribution. For \( \alpha = 0.10 \), this value is typically found using standard normal distribution tables or statistical software.
3. **Rejection Region**: The area to the right of the critical value is the rejection region for the null hypothesis. Any test statistic falling in this region would lead to rejecting the null hypothesis.
The graph visually represents the above points, showing the distribution curve, the critical z-value, and the shaded rejection region.
---
### Using Statistical Tables:
To find the critical value for a right-tailed test:
1. Look up the significance level \( \alpha = 0.10 \).
2. Identify the z-value corresponding to this area. For \( \alpha = 0.10 \), the critical z-value can be determined from z-tables or using a statistical tool to approximate z \(_\alpha\).
**Note**: Ensure your final answer is rounded to two decimal places.
---](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffb2e127d-acf4-4772-b602-40c7001de980%2Fe791eb60-a074-4b54-aac7-3629b84a576b%2Fpnuyodu_processed.png&w=3840&q=75)
Transcribed Image Text:**Finding Critical Values and Rejection Regions for a Right-Tailed Z-Test**
### Problem Statement:
Find the critical value(s) and rejection region(s) for the type of z-test with the level of significance \( \alpha \). Include a graph with your answer.
**Right-tailed test, \( \alpha = 0.10 \)**.
---
### Solution:
The critical value(s) is/are \( z = \) [ ]
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
---
### Explanation of the Graph:
A right-tailed test involves finding the area to the right of the critical value in the standard normal distribution. The area corresponds to the level of significance \( \alpha \).
1. **Standard Normal Distribution Curve**: The curve is symmetrical about the mean (0) and extends infinitely in both directions.
2. **Critical Value (z\(_\alpha\))**: The point on the z-axis that creates an area of \( \alpha \) in the right tail of the distribution. For \( \alpha = 0.10 \), this value is typically found using standard normal distribution tables or statistical software.
3. **Rejection Region**: The area to the right of the critical value is the rejection region for the null hypothesis. Any test statistic falling in this region would lead to rejecting the null hypothesis.
The graph visually represents the above points, showing the distribution curve, the critical z-value, and the shaded rejection region.
---
### Using Statistical Tables:
To find the critical value for a right-tailed test:
1. Look up the significance level \( \alpha = 0.10 \).
2. Identify the z-value corresponding to this area. For \( \alpha = 0.10 \), the critical z-value can be determined from z-tables or using a statistical tool to approximate z \(_\alpha\).
**Note**: Ensure your final answer is rounded to two decimal places.
---
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