Consider the following hypotheses. Ho ps0.22 H1: p>0.22 Given that p = 0.3, n = 130, and a= 0.01, answer the following questions. a. What conclusion should be drawn? b. Determine the p-value for this test. a. Determine the critical value(s) of the test statistic. Za (Use a comma to separate answers as needed. Round to two decimal places as needed.) Calculate the test statistic. Zp (Round to two decimal places as needed.) What conclusion should be drawn? O A. Reject Ho. There is sufficient evidence that p> 0.22. O B. Reject Ho. There is insufficient evidence that p> 0.22. O C. Do not reject Ho. There is sufficient evidence that p> 0.22. O D. Do not reject Ho. There is insufficient evidence that p> 0.22. b. p-value = (Round to three decimal places as needed.) %3D
Consider the following hypotheses. Ho ps0.22 H1: p>0.22 Given that p = 0.3, n = 130, and a= 0.01, answer the following questions. a. What conclusion should be drawn? b. Determine the p-value for this test. a. Determine the critical value(s) of the test statistic. Za (Use a comma to separate answers as needed. Round to two decimal places as needed.) Calculate the test statistic. Zp (Round to two decimal places as needed.) What conclusion should be drawn? O A. Reject Ho. There is sufficient evidence that p> 0.22. O B. Reject Ho. There is insufficient evidence that p> 0.22. O C. Do not reject Ho. There is sufficient evidence that p> 0.22. O D. Do not reject Ho. There is insufficient evidence that p> 0.22. b. p-value = (Round to three decimal places as needed.) %3D
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
A) determine the critical value(s) if the test statistic.
Zα=___
(Use a comma to separate answers as needed. Round to two decimal places as needed.)
Calculate the test statistic.
Zp=____(Round to two decimal places as needed.)
![**Hypothesis Testing Example**
Consider the following hypotheses:
- \( H_0: p \leq 0.22 \)
- \( H_1: p > 0.22 \)
Given that \( \hat{p} = 0.3 \), \( n = 130 \), and \( \alpha = 0.01 \), answer the following questions:
**a. What conclusion should be drawn?**
**b. Determine the p-value for this test.**
**Steps:**
1. **Determine the critical value(s) of the test statistic:**
- \( z_\alpha = \) [Input box]
*(Use a comma to separate answers as needed. Round to two decimal places as needed.)*
2. **Calculate the test statistic:**
- \( z_p = \) [Input box]
*(Round to two decimal places as needed.)*
3. **What conclusion should be drawn?**
- [ ] A. Reject \( H_0 \). There is sufficient evidence that \( p > 0.22 \).
- [ ] B. Reject \( H_0 \). There is insufficient evidence that \( p > 0.22 \).
- [ ] C. Do not reject \( H_0 \). There is sufficient evidence that \( p > 0.22 \).
- [ ] D. Do not reject \( H_0 \). There is insufficient evidence that \( p > 0.22 \).
4. **Calculate the p-value:**
- p-value \( = \) [Input box]
*(Round to three decimal places as needed.)*
This example guides you through determining whether to reject or fail to reject a null hypothesis based on a given significance level, using the critical value and calculated p-value.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F68cc5e62-1f1e-447e-86e2-72966307f0c4%2Fd5745f65-69c4-4233-a6b7-fc59e2aaee5c%2F6fjr3c_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing Example**
Consider the following hypotheses:
- \( H_0: p \leq 0.22 \)
- \( H_1: p > 0.22 \)
Given that \( \hat{p} = 0.3 \), \( n = 130 \), and \( \alpha = 0.01 \), answer the following questions:
**a. What conclusion should be drawn?**
**b. Determine the p-value for this test.**
**Steps:**
1. **Determine the critical value(s) of the test statistic:**
- \( z_\alpha = \) [Input box]
*(Use a comma to separate answers as needed. Round to two decimal places as needed.)*
2. **Calculate the test statistic:**
- \( z_p = \) [Input box]
*(Round to two decimal places as needed.)*
3. **What conclusion should be drawn?**
- [ ] A. Reject \( H_0 \). There is sufficient evidence that \( p > 0.22 \).
- [ ] B. Reject \( H_0 \). There is insufficient evidence that \( p > 0.22 \).
- [ ] C. Do not reject \( H_0 \). There is sufficient evidence that \( p > 0.22 \).
- [ ] D. Do not reject \( H_0 \). There is insufficient evidence that \( p > 0.22 \).
4. **Calculate the p-value:**
- p-value \( = \) [Input box]
*(Round to three decimal places as needed.)*
This example guides you through determining whether to reject or fail to reject a null hypothesis based on a given significance level, using the critical value and calculated p-value.
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