The test statistic of z= -2.56 is obtained when testing the claim that p <0.39. a. Using a significance level of a=0.10, find the critical value(s). b. 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. The critical value(s) is/are z= (Round to two decimal places as needed. Use a comma to separate answers as needed.)

MATLAB: An Introduction with Applications
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**Z-Test Statistical Analysis**

The test statistic of \( z = -2.56 \) is obtained when testing the claim that \( p < 0.39 \).

---

**a.** Using a significance level of \( \alpha = 0.10 \), find the critical value(s).

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

- [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.** The critical value(s) is/are \( z = \_\_\_\_

(Round to two decimal places as needed. Use a comma to separate answers as needed.)

---

### Explanation:

This problem involves conducting a hypothesis test using a z-test. The test statistic calculated is \( -2.56 \), and we are testing the hypothesis with a significance level (\( \alpha \)) of 0.10.

1. **Determine Critical Values:**
   - Use the standard normal distribution table to find the critical z-values for \( \alpha = 0.10 \).

2. **Decision Rule:**
   - If the test statistic falls into the critical region (beyond the critical z-value), reject the null hypothesis \( H_0 \). Otherwise, fail to reject \( H_0 \).

You can access the standard normal distribution tables through the links provided to find the necessary critical values for the analysis.
Transcribed Image Text:**Z-Test Statistical Analysis** The test statistic of \( z = -2.56 \) is obtained when testing the claim that \( p < 0.39 \). --- **a.** Using a significance level of \( \alpha = 0.10 \), find the critical value(s). **b.** Should we reject \( H_0 \) or should we fail to reject \( H_0 \)? - [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.** The critical value(s) is/are \( z = \_\_\_\_ (Round to two decimal places as needed. Use a comma to separate answers as needed.) --- ### Explanation: This problem involves conducting a hypothesis test using a z-test. The test statistic calculated is \( -2.56 \), and we are testing the hypothesis with a significance level (\( \alpha \)) of 0.10. 1. **Determine Critical Values:** - Use the standard normal distribution table to find the critical z-values for \( \alpha = 0.10 \). 2. **Decision Rule:** - If the test statistic falls into the critical region (beyond the critical z-value), reject the null hypothesis \( H_0 \). Otherwise, fail to reject \( H_0 \). You can access the standard normal distribution tables through the links provided to find the necessary critical values for the analysis.
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