The test statistic of z= -2.45 is obtained when testing the claim that p= 1/4. a. Using a significance level of a = 0.05, find the critical value(s). b. Should we reject H, or should we fail to reject H₂? 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. The critical value(s) is/are z = (Round to two decimal places as needed. Use a comma to separate answers as needed.) b. Choose the correct conclusion below. O A. Reject Ho. There is sufficient evidence to warrant rejection of the claim that p=1/4.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Chapter1: Starting With Matlab
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### Hypothesis Testing Example

**Problem Statement:**
The test statistic of \( z = -2.45 \) is obtained when testing the claim that \( p = 1/4 \).

**Steps to Solve:**

**a. Finding the Critical Value(s):**
Using a significance level of \( \alpha = 0.05 \), find the critical value(s).

- Instructions: Use the standard normal distribution table to find the critical value(s). For a two-tailed test with \( \alpha = 0.05 \), look for the values in the table that correspond to 0.025 in each tail.

**b. Decision Making:**
Should we reject \( H_0 \) or should we fail to reject \( H_0 \)?

1. The critical value(s) is/are \( z = \) 
   - (Enter the critical values rounded to two decimal places. Use a comma to separate answers as needed.)

2. Choose the correct conclusion below:

   - **A.** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that \( p = 1/4 \).

   - **B.** Reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that \( p = 1/4 \).

   - **C.** Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that \( p = 1/4 \).

   - **D.** Fail to reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that \( p = 1/4 \).

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

**Note:** Analyze the provided values against the standard normal distribution table to determine the appropriate critical values and make a justified conclusion based on these values.
Transcribed Image Text:### Hypothesis Testing Example **Problem Statement:** The test statistic of \( z = -2.45 \) is obtained when testing the claim that \( p = 1/4 \). **Steps to Solve:** **a. Finding the Critical Value(s):** Using a significance level of \( \alpha = 0.05 \), find the critical value(s). - Instructions: Use the standard normal distribution table to find the critical value(s). For a two-tailed test with \( \alpha = 0.05 \), look for the values in the table that correspond to 0.025 in each tail. **b. Decision Making:** Should we reject \( H_0 \) or should we fail to reject \( H_0 \)? 1. The critical value(s) is/are \( z = \) - (Enter the critical values rounded to two decimal places. Use a comma to separate answers as needed.) 2. Choose the correct conclusion below: - **A.** Reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that \( p = 1/4 \). - **B.** Reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that \( p = 1/4 \). - **C.** Fail to reject \( H_0 \). There is sufficient evidence to warrant rejection of the claim that \( p = 1/4 \). - **D.** Fail to reject \( H_0 \). There is not sufficient evidence to warrant rejection of the claim that \( p = 1/4 \). **Additional Resources:** - [Click here to view page 1 of the standard normal distribution table.](#) - [Click here to view page 2 of the standard normal distribution table.](#) **Note:** Analyze the provided values against the standard normal distribution table to determine the appropriate critical values and make a justified conclusion based on these values.
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