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.

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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.

---

### 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 \( p > 0.2 \).
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. --- ### 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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