The test statistic of z= -3.24 is obtained when testing the claim that p<0.76. a. Using a significance level of a = 0.01, 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= 0. (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 not sufficient evidence to support the claim that p<0.76. OB. Reject Ho. There is sufficient evidence to support the claim that p <0.76. OC. Fail to reject Ho. There is not sufficient evidence to support the claim that p <0.76. OD. Fail to reject Ho. There is sufficient evidence to support the claim that p<0.76. ***

MATLAB: An Introduction with Applications
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**Hypothesis Testing on Proportion**

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### Problem Statement:

The test statistic of \( z = -3.24 \) is obtained when testing the claim that \( p < 0.76 \).

a. **Using a significance level of \( \alpha = 0.01 \), 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. **Critical Value(s):**
The critical value(s) is/are \( z = \_\_\_\_\_\_ \). (Round to two decimal places as needed. Use a comma to separate answers as needed.)

b. **Conclusion:**
Choose the correct conclusion below.

A. \( \text{Reject } H_0 \). There is not sufficient evidence to support the claim that \( p < 0.76 \).

B. \( \text{Reject } H_0 \). There is sufficient evidence to support the claim that \( p < 0.76 \).

C. \( \text{Fail to reject } H_0 \). There is not sufficient evidence to support the claim that \( p < 0.76 \).

D. \( \text{Fail to reject } H_0 \). There is sufficient evidence to support the claim that \( p < 0.76 \).
Transcribed Image Text:**Hypothesis Testing on Proportion** --- ### Problem Statement: The test statistic of \( z = -3.24 \) is obtained when testing the claim that \( p < 0.76 \). a. **Using a significance level of \( \alpha = 0.01 \), 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. **Critical Value(s):** The critical value(s) is/are \( z = \_\_\_\_\_\_ \). (Round to two decimal places as needed. Use a comma to separate answers as needed.) b. **Conclusion:** Choose the correct conclusion below. A. \( \text{Reject } H_0 \). There is not sufficient evidence to support the claim that \( p < 0.76 \). B. \( \text{Reject } H_0 \). There is sufficient evidence to support the claim that \( p < 0.76 \). C. \( \text{Fail to reject } H_0 \). There is not sufficient evidence to support the claim that \( p < 0.76 \). D. \( \text{Fail to reject } H_0 \). There is sufficient evidence to support the claim that \( p < 0.76 \).
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