The test statistic of z = 1.51 is obtained when testing the claim that p>0.3. 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 H,? 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 right-tailed test. b. P-value = (Round to three decimal places as needed.)

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**Example Hypothesis Test with z-Statistic**

**Problem Statement:**
The test statistic of z = 1.51 is obtained when testing the claim that \( p > 0.3 \).

1. **Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.**

   - This is a **right-tailed** test.

2. **Find the P-value.**

   - P-value = ______ (Round to three decimal places as needed.)

3. **Using a significance level of \( \alpha = 0.10 \), should we reject \( H_0 \) or should we fail to reject \( H_0 \)?**

**Click the links below to access the standard normal distribution tables for further calculations:**

- [Click here to view page 1 of the standard normal distribution table.](#)
- [Click here to view page 2 of the standard normal distribution table.](#)

**Explanation:**
- **Right-tailed test:** Since the claim is \( p > 0.3 \), it implies that the area of interest under the normal curve is to the right of the test statistic.
- **P-value:** The P-value corresponds to the probability that the test statistic equals 1.51 or is more extreme in the direction of the alternative hypothesis.
- **Decision Rule:** Compare the P-value with the significance level (\( \alpha \)). If the P-value is less than \( \alpha \), reject the null hypothesis \( H_0 \); otherwise, fail to reject \( H_0 \).

This template is designed for educational purposes to guide students through understanding hypothesis testing with the z-statistic and the interpretation of P-values in the context of significance levels.
Transcribed Image Text:**Example Hypothesis Test with z-Statistic** **Problem Statement:** The test statistic of z = 1.51 is obtained when testing the claim that \( p > 0.3 \). 1. **Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.** - This is a **right-tailed** test. 2. **Find the P-value.** - P-value = ______ (Round to three decimal places as needed.) 3. **Using a significance level of \( \alpha = 0.10 \), should we reject \( H_0 \) or should we fail to reject \( H_0 \)?** **Click the links below to access the standard normal distribution tables for further calculations:** - [Click here to view page 1 of the standard normal distribution table.](#) - [Click here to view page 2 of the standard normal distribution table.](#) **Explanation:** - **Right-tailed test:** Since the claim is \( p > 0.3 \), it implies that the area of interest under the normal curve is to the right of the test statistic. - **P-value:** The P-value corresponds to the probability that the test statistic equals 1.51 or is more extreme in the direction of the alternative hypothesis. - **Decision Rule:** Compare the P-value with the significance level (\( \alpha \)). If the P-value is less than \( \alpha \), reject the null hypothesis \( H_0 \); otherwise, fail to reject \( H_0 \). This template is designed for educational purposes to guide students through understanding hypothesis testing with the z-statistic and the interpretation of P-values in the context of significance levels.
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