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
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Author:Amos Gilat
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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.
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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