k The test statistic of z= 2.92 is obtained when testing the claim that p *0.548. 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 two-tailed test. b. P-value= (Round to three decimal places as needed.) th - Cor

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### Hypothesis Testing Example

Consider the following scenario for hypothesis testing when a test statistic is provided:

#### The test statistic of z = 2.92 is obtained when testing the claim that p ≠ 0.548.
1. **Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.**
2. **Find the P-value.**
3. **Using a significance level of α = 0.05, should we reject H₀ or should we fail to reject H₀?**

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

---

#### Solution:

##### a. Type of Hypothesis Test
This is a **two-tailed** test.

##### b. Calculation of P-value
P-value = ☐ (Round to three decimal places as needed.)

In a two-tailed test with z = 2.92, we look at the areas in both tails of the normal distribution.

##### c. Decision Making
Using a significance level of α = 0.05, compare the P-value with the significance level to determine whether to reject H₀ or fail to reject H₀.

---

### Additional Resources

- [Standard Normal Distribution Table - Page 1](#)
- [Standard Normal Distribution Table - Page 2](#)

---
Transcribed Image Text:--- ### Hypothesis Testing Example Consider the following scenario for hypothesis testing when a test statistic is provided: #### The test statistic of z = 2.92 is obtained when testing the claim that p ≠ 0.548. 1. **Identify the hypothesis test as being two-tailed, left-tailed, or right-tailed.** 2. **Find the P-value.** 3. **Using a significance level of α = 0.05, should we reject H₀ or should we fail to reject H₀?** [Click here to view page 1 of the standard normal distribution table.](#) [Click here to view page 2 of the standard normal distribution table.](#) --- #### Solution: ##### a. Type of Hypothesis Test This is a **two-tailed** test. ##### b. Calculation of P-value P-value = ☐ (Round to three decimal places as needed.) In a two-tailed test with z = 2.92, we look at the areas in both tails of the normal distribution. ##### c. Decision Making Using a significance level of α = 0.05, compare the P-value with the significance level to determine whether to reject H₀ or fail to reject H₀. --- ### Additional Resources - [Standard Normal Distribution Table - Page 1](#) - [Standard Normal Distribution Table - Page 2](#) ---
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