The test statistic of z = - 1.81 is obtained when testing the claim that p = 2/3. a. Using a significance level of a = 0.05, find the critical value(s). b. Should we reject Họ or should we fail to reject H, ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. The critical value(s) is/are z = (Round to two decimal places as needed. Use a comma to separate answers as needed.)
The test statistic of z = - 1.81 is obtained when testing the claim that p = 2/3. a. Using a significance level of a = 0.05, find the critical value(s). b. Should we reject Họ or should we fail to reject H, ? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. a. 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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![**Title: Hypothesis Testing and Critical Values**
**Problem Statement:**
The test statistic of z = -1.81 is obtained when testing the claim that p = 2/3.
**Tasks:**
a. Using a significance level of α = 0.05, find the critical value(s).
b. Should we reject H₀ or should we fail to reject H₀?
**Resources:**
- Click here to view page 1 of the standard normal distribution table.
- Click here to view page 2 of the standard normal distribution table.
**Solution:**
a. The critical value(s) is/are z = [____].
*(Round to two decimal places as needed. Use a comma to separate answers as needed.)*
---
**Explanation:**
This problem involves hypothesis testing using a standard normal distribution. To find the critical value(s), refer to the standard normal distribution table to determine the z-value that corresponds to the significance level, α = 0.05.
In hypothesis testing:
1. **Null Hypothesis (H₀):** p = 2/3
2. **Alternative Hypothesis (H₁):** p ≠ 2/3 (assuming a two-tailed test)
The critical value(s) help determine the rejection region for testing the null hypothesis. If the test statistic falls in the rejection region, we reject H₀; otherwise, we fail to reject H₀.
For further exploration, use the provided links to the standard normal distribution table, which will aid in identifying the corresponding critical z-value(s).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F07962794-f4d2-4771-a33a-4f10adddc0da%2F59a88300-7dad-4b2b-8d3e-49c7b7dc52cc%2F8kiz732_processed.png&w=3840&q=75)
Transcribed Image Text:**Title: Hypothesis Testing and Critical Values**
**Problem Statement:**
The test statistic of z = -1.81 is obtained when testing the claim that p = 2/3.
**Tasks:**
a. Using a significance level of α = 0.05, find the critical value(s).
b. Should we reject H₀ or should we fail to reject H₀?
**Resources:**
- Click here to view page 1 of the standard normal distribution table.
- Click here to view page 2 of the standard normal distribution table.
**Solution:**
a. The critical value(s) is/are z = [____].
*(Round to two decimal places as needed. Use a comma to separate answers as needed.)*
---
**Explanation:**
This problem involves hypothesis testing using a standard normal distribution. To find the critical value(s), refer to the standard normal distribution table to determine the z-value that corresponds to the significance level, α = 0.05.
In hypothesis testing:
1. **Null Hypothesis (H₀):** p = 2/3
2. **Alternative Hypothesis (H₁):** p ≠ 2/3 (assuming a two-tailed test)
The critical value(s) help determine the rejection region for testing the null hypothesis. If the test statistic falls in the rejection region, we reject H₀; otherwise, we fail to reject H₀.
For further exploration, use the provided links to the standard normal distribution table, which will aid in identifying the corresponding critical z-value(s).
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