The test statistic of z 1.11 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= 0.05, 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 right-tailed test. b. P-value = (Round to three decimal places as needed.)

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### Hypothesis Testing in Statistics

#### Example Problem:

A test statistic of \( z = 1.11 \) is obtained when testing the claim that \( p > 0.2 \).

##### a. Identification of Hypothesis Test:
- **Determine if the hypothesis test is two-tailed, left-tailed, or right-tailed.**
    - **Answer:** This is a **right-tailed** test.

##### b. Finding the P-value:
- **Calculate the P-value (round to three decimal places if needed).**
    - **Answer:** \( \text{P-value} = \_\_\_\_ \)

##### c. Conclusion Based on Significance Level:
- **Using a significance level of \( \alpha = 0.05 \), should we reject \( H_0 \) (null hypothesis) or fail to reject \( H_0 \)?**

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

**Finding the P-value:** 
1. Look up the value of the z-statistic on the standard normal distribution table.
2. For a right-tailed test, find the area to the right of the z-value.
3. This area represents the P-value.

**Standard Normal Distribution Table:** 
- The standard normal distribution table (also known as the Z-table) lists the cumulative probability of a standard normal distribution up to a given z-score.
- To find the right-tailed p-value, subtract the cumulative probability from 1.

Example:
1. If \( z = 1.11 \), find the cumulative probability corresponding to \( z = 1.11 \) in the Z-table.
2. Subtract this value from 1 to get the P-value.

For detailed steps on how to use the standard normal distribution table, you can refer to the provided links to pages 1 and 2 of the table.
Transcribed Image Text:### Hypothesis Testing in Statistics #### Example Problem: A test statistic of \( z = 1.11 \) is obtained when testing the claim that \( p > 0.2 \). ##### a. Identification of Hypothesis Test: - **Determine if the hypothesis test is two-tailed, left-tailed, or right-tailed.** - **Answer:** This is a **right-tailed** test. ##### b. Finding the P-value: - **Calculate the P-value (round to three decimal places if needed).** - **Answer:** \( \text{P-value} = \_\_\_\_ \) ##### c. Conclusion Based on Significance Level: - **Using a significance level of \( \alpha = 0.05 \), should we reject \( H_0 \) (null hypothesis) or fail to reject \( H_0 \)?** **Note:** - Click [here](#) to view page 1 of the standard normal distribution table. - Click [here](#) to view page 2 of the standard normal distribution table. **Finding the P-value:** 1. Look up the value of the z-statistic on the standard normal distribution table. 2. For a right-tailed test, find the area to the right of the z-value. 3. This area represents the P-value. **Standard Normal Distribution Table:** - The standard normal distribution table (also known as the Z-table) lists the cumulative probability of a standard normal distribution up to a given z-score. - To find the right-tailed p-value, subtract the cumulative probability from 1. Example: 1. If \( z = 1.11 \), find the cumulative probability corresponding to \( z = 1.11 \) in the Z-table. 2. Subtract this value from 1 to get the P-value. For detailed steps on how to use the standard normal distribution table, you can refer to the provided links to pages 1 and 2 of the table.
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