The test statistic of z = 1.86 is obtained when testing the claim that p #0.842. 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 = 0.01, 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. O A. Reject Ho. There is not sufficient evidence to support the claim that p 0.842. B. Fail to reject Ho. There is sufficient evidence to support the claim that p#0.842. O C. Reject Ho. There is sufficient evidence to support the claim that p 0.842. O D. Fail to reject Ho. There is not sufficient evidence to support the claim that p 0.842.

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### Hypothesis Testing Example

The test statistic of \( z = 1.86 \) is obtained when testing the claim that \( p \neq 0.842 \).

**Steps:**
1. **Identify the Hypothesis Test:**
   a. Determine whether the hypothesis test is two-tailed, left-tailed, or right-tailed.
   
2. **Find the P-value:**
   b. Calculate the P-value.

3. **Decision Rule:**
   c. Using a significance level of \( \alpha = 0.01 \), decide whether we should reject \( H_0 \) or fail to reject \( H_0 \).

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

### Tasks:
a. This is a \(\_\_\_\_\_\) test.

b. **P-value:** \(\_\_\_\_\_\) (Round to three decimal places as needed.)

c. Choose the correct conclusion from the options below:

- **A.** Reject \( H_0 \). There is not sufficient evidence to support the claim that \( p \neq 0.842 \).
- **B.** Fail to reject \( H_0 \). There is sufficient evidence to support the claim that \( p \neq 0.842 \).
- **C.** Reject \( H_0 \). There is sufficient evidence to support the claim that \( p \neq 0.842 \).
- **D.** Fail to reject \( H_0 \). There is not sufficient evidence to support the claim that \( p \neq 0.842 \).

### Note:
- Select your answer by evaluating the given information, conducting the required calculations, and comparing the results with the significance level.
Transcribed Image Text:### Hypothesis Testing Example The test statistic of \( z = 1.86 \) is obtained when testing the claim that \( p \neq 0.842 \). **Steps:** 1. **Identify the Hypothesis Test:** a. Determine whether the hypothesis test is two-tailed, left-tailed, or right-tailed. 2. **Find the P-value:** b. Calculate the P-value. 3. **Decision Rule:** c. Using a significance level of \( \alpha = 0.01 \), decide whether we should reject \( H_0 \) or fail to reject \( H_0 \). ### Resources: - [Standard Normal Distribution Table - Page 1](#) - [Standard Normal Distribution Table - Page 2](#) ### Tasks: a. This is a \(\_\_\_\_\_\) test. b. **P-value:** \(\_\_\_\_\_\) (Round to three decimal places as needed.) c. Choose the correct conclusion from the options below: - **A.** Reject \( H_0 \). There is not sufficient evidence to support the claim that \( p \neq 0.842 \). - **B.** Fail to reject \( H_0 \). There is sufficient evidence to support the claim that \( p \neq 0.842 \). - **C.** Reject \( H_0 \). There is sufficient evidence to support the claim that \( p \neq 0.842 \). - **D.** Fail to reject \( H_0 \). There is not sufficient evidence to support the claim that \( p \neq 0.842 \). ### Note: - Select your answer by evaluating the given information, conducting the required calculations, and comparing the results with the significance level.
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