The test statistic of z= -2.56 is obtained when testing the claim that p <0.39. a. Using a significance level of a=0.10, find the critical value(s). b. Should we reject Ho or should we fail to reject Ho? 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= -2.56 is obtained when testing the claim that p <0.39. a. Using a significance level of a=0.10, find the critical value(s). b. Should we reject Ho or should we fail to reject Ho? 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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![**Z-Test Statistical Analysis**
The test statistic of \( z = -2.56 \) is obtained when testing the claim that \( p < 0.39 \).
---
**a.** Using a significance level of \( \alpha = 0.10 \), find the critical value(s).
**b.** Should we reject \( H_0 \) or should we fail to reject \( H_0 \)?
- [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 conducting a hypothesis test using a z-test. The test statistic calculated is \( -2.56 \), and we are testing the hypothesis with a significance level (\( \alpha \)) of 0.10.
1. **Determine Critical Values:**
- Use the standard normal distribution table to find the critical z-values for \( \alpha = 0.10 \).
2. **Decision Rule:**
- If the test statistic falls into the critical region (beyond the critical z-value), reject the null hypothesis \( H_0 \). Otherwise, fail to reject \( H_0 \).
You can access the standard normal distribution tables through the links provided to find the necessary critical values for the analysis.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F3c582252-6541-4096-9706-b4f3b52fcf1c%2Fa74ddd6d-0d7f-4855-a809-6e339b167c06%2F36a38wvh_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Z-Test Statistical Analysis**
The test statistic of \( z = -2.56 \) is obtained when testing the claim that \( p < 0.39 \).
---
**a.** Using a significance level of \( \alpha = 0.10 \), find the critical value(s).
**b.** Should we reject \( H_0 \) or should we fail to reject \( H_0 \)?
- [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 conducting a hypothesis test using a z-test. The test statistic calculated is \( -2.56 \), and we are testing the hypothesis with a significance level (\( \alpha \)) of 0.10.
1. **Determine Critical Values:**
- Use the standard normal distribution table to find the critical z-values for \( \alpha = 0.10 \).
2. **Decision Rule:**
- If the test statistic falls into the critical region (beyond the critical z-value), reject the null hypothesis \( H_0 \). Otherwise, fail to reject \( H_0 \).
You can access the standard normal distribution tables through the links provided to find the necessary critical values for the analysis.
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