The test statistic of z = -2.13 is obtained when testing the claim that p< 0.43. 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?
The test statistic of z = -2.13 is obtained when testing the claim that p< 0.43. 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?
MATLAB: An Introduction with Applications
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ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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![### Hypothesis Testing Using z-Statistic
**The Scenario:**
The test statistic of \( z = -2.13 \) is obtained when testing the claim that \( p < 0.43 \).
**Steps:**
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 \( H_0 \)?
**Resources:**
You can find the critical values by consulting the standard normal distribution table. Here are the links:
- [Page 1 of the standard normal distribution table](#)
- [Page 2 of the standard normal distribution table](#)
**Solution:**
1. **Finding the Critical Value(s):**
a. The critical value(s) is/are \( z = \_\_\_\_\_\_ \).
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
2. **Decision Rule:**
b. Using the critical value found, decide whether to reject \( H_0 \) or fail to reject \( H_0 \).
### Explanation of Diagrams (If Available):
Please refer to the standard normal distribution tables to find the appropriate critical z-value. The significance level \( \alpha = 0.10 \) corresponds to a critical value for a one-tailed test. Normally, in such a case, consult the left-tail of the z-distribution.
### How to Use the Standard Normal Distribution Table:
1. Locate the significance level (e.g., 0.10) in the table.
2. Find the corresponding z-value.
3. Compare the test statistic \( z = -2.13 \) with the critical z-value to determine if \( H_0 \) should be rejected.
By consulting the standard normal distribution table, you can complete parts a. and b., thus enabling the decision-making process for the hypothesis based on the given test statistic.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F77118ecc-eadc-491f-9762-2009f6b89d99%2F033d6c9d-ea8d-4304-ba9b-e7cc06939058%2Ff7telu.jpeg&w=3840&q=75)
Transcribed Image Text:### Hypothesis Testing Using z-Statistic
**The Scenario:**
The test statistic of \( z = -2.13 \) is obtained when testing the claim that \( p < 0.43 \).
**Steps:**
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 \( H_0 \)?
**Resources:**
You can find the critical values by consulting the standard normal distribution table. Here are the links:
- [Page 1 of the standard normal distribution table](#)
- [Page 2 of the standard normal distribution table](#)
**Solution:**
1. **Finding the Critical Value(s):**
a. The critical value(s) is/are \( z = \_\_\_\_\_\_ \).
(Round to two decimal places as needed. Use a comma to separate answers as needed.)
2. **Decision Rule:**
b. Using the critical value found, decide whether to reject \( H_0 \) or fail to reject \( H_0 \).
### Explanation of Diagrams (If Available):
Please refer to the standard normal distribution tables to find the appropriate critical z-value. The significance level \( \alpha = 0.10 \) corresponds to a critical value for a one-tailed test. Normally, in such a case, consult the left-tail of the z-distribution.
### How to Use the Standard Normal Distribution Table:
1. Locate the significance level (e.g., 0.10) in the table.
2. Find the corresponding z-value.
3. Compare the test statistic \( z = -2.13 \) with the critical z-value to determine if \( H_0 \) should be rejected.
By consulting the standard normal distribution table, you can complete parts a. and b., thus enabling the decision-making process for the hypothesis based on the given test statistic.
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