The test statistic of z=0.81 is obtained when testing the claim that p > 0.2. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.10, 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. This is a test. b. P-value = (Round to three decimal places as needed.) c. Choose the correct conclusion below. OA. Fail to reject Ho. There is not sufficient evidence to support the claim that p>0.2. B. Reject Ho. There is not sufficient evidence to support the claim that p > 0.2. C. Fail to reject Ho. There is sufficient evidence to support the claim that p > 0.2. O D. Reject Ho. There is sufficient evidence to support the claim that p > 0.2.
The test statistic of z=0.81 is obtained when testing the claim that p > 0.2. a. Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed. b. Find the P-value. c. Using a significance level of a = 0.10, 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. This is a test. b. P-value = (Round to three decimal places as needed.) c. Choose the correct conclusion below. OA. Fail to reject Ho. There is not sufficient evidence to support the claim that p>0.2. B. Reject Ho. There is not sufficient evidence to support the claim that p > 0.2. C. Fail to reject Ho. There is sufficient evidence to support the claim that p > 0.2. O D. Reject Ho. There is sufficient evidence to support the claim that p > 0.2.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
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Transcribed Image Text:The text presented involves statistical hypothesis testing, specifically using a test statistic and p-value to determine the outcome of a test regarding a population proportion.
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### Hypothesis Testing Overview
1. **Test Statistic:**
- The test statistic is given as \( z = 0.81 \). This measurement is used to determine how far sample data deviates from the null hypothesis.
2. **Claim:**
- The claim being tested is that the proportion \( p > 0.2 \).
3. **Hypothesis Test Type:**
- The test is to be identified regarding whether it is two-tailed, left-tailed, or right-tailed.
4. **P-value:**
- The p-value is a crucial part of determining the significance of the test statistic. It will be found and rounded to three decimal places.
5. **Decision Criteria:**
- Using a significance level of \( \alpha = 0.10 \), the decision is whether to reject or fail to reject the null hypothesis (\( H_0 \)).
6. **Standard Normal Distribution Tables:**
- Links are provided to access tables (Page 1 and Page 2) that aid in determining the p-value based on the test statistic.
7. **Conclusion Choices:**
- Four options are available to conclude the hypothesis test:
- A. Fail to reject \( H_0 \). There is not sufficient evidence to support the claim that \( p > 0.2 \).
- B. Reject \( H_0 \). There is not sufficient evidence to support the claim that \( p > 0.2 \).
- C. Fail to reject \( H_0 \). There is sufficient evidence to support the claim that \( p > 0.2 \).
- D. Reject \( H_0 \). There is sufficient evidence to support the claim that \( p > 0.2 \).
---
To choose the correct conclusion, one must calculate the p-value using the standard normal distribution table and compare it to the significance level to determine whether the evidence is strong enough to support the claim \( p > 0.2 \).
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