In a program designed to help patients stop smoking, 243 patients were given sustained care, and 80.7% of them were no longer smoking after one month. Use a 0.05 significance level to test the claim that 80% of patients stop smoking when given sustained care. Identify the test statistic for this hypothesis test The test statistic for this hypothesis test is. (Round to two decimal places as needed.) Identify the P-value for this hypothesis test The P-value for this hypothesis test is (Round to three decimal places as needed) Identify the conclusion for this hypothesis test. OA. Fail to reject Ho. There is not sufficient evidence to reject the claim that 80% of patients stop smoking when given sustained care. OB. Fail to reject Ho. There is sufficient evidence to reject the claim that 80% of patients stop smoking when given sustained care.

MATLAB: An Introduction with Applications
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In a program designed to help patients stop smoking, 243 patients were given sustained care, and 80.7% of them were no longer smoking after one month. Use a 0.05 significance level to test the claim that 80% of patients stop smoking when given sustained care. 

---

**Identify the test statistic for this hypothesis test**

The test statistic for this hypothesis test is: [ ]

(Round to two decimal places as needed.)

**Identify the P-value for this hypothesis test**

The P-value for this hypothesis test is: [ ]

(Round to three decimal places as needed.)

**Identify the conclusion for this hypothesis test**

- **A.** Fail to reject \( H_0 \). There is not sufficient evidence to reject the claim that 80% of patients stop smoking when given sustained care.

- **B.** Fail to reject \( H_0 \). There is sufficient evidence to reject the claim that 80% of patients stop smoking when given sustained care.
Transcribed Image Text:In a program designed to help patients stop smoking, 243 patients were given sustained care, and 80.7% of them were no longer smoking after one month. Use a 0.05 significance level to test the claim that 80% of patients stop smoking when given sustained care. --- **Identify the test statistic for this hypothesis test** The test statistic for this hypothesis test is: [ ] (Round to two decimal places as needed.) **Identify the P-value for this hypothesis test** The P-value for this hypothesis test is: [ ] (Round to three decimal places as needed.) **Identify the conclusion for this hypothesis test** - **A.** Fail to reject \( H_0 \). There is not sufficient evidence to reject the claim that 80% of patients stop smoking when given sustained care. - **B.** Fail to reject \( H_0 \). There is sufficient evidence to reject the claim that 80% of patients stop smoking when given sustained care.
**Title: Statistical Hypothesis Testing in Smoking Cessation Programs**

**Overview:**
In a study aimed at assisting patients in quitting smoking, 243 participants received sustained care. After one month, 80.7% had quit smoking. This scenario is used to test the hypothesis that 80% of patients stop smoking with sustained care. The significance level for this statistical test is set at 0.05.

**Objective:**
To identify the null and alternative hypotheses to validate the claim regarding the success rate of smoking cessation.

**Hypothesis Options:**

- **Option A:** 
  - Null Hypothesis (\(H_0\)): \(p = 0.8\)
  - Alternative Hypothesis (\(H_1\)): \(p \neq 0.8\)

- **Option B:** 
  - Null Hypothesis (\(H_0\)): \(p = 0.8\)
  - Alternative Hypothesis (\(H_1\)): \(p > 0.8\)

- **Option C:** 
  - Null Hypothesis (\(H_0\)): \(p \neq 0.8\)
  - Alternative Hypothesis (\(H_1\)): \(p = 0.8\)

- **Option D:** 
  - Null Hypothesis (\(H_0\)): \(p = 0.8\)
  - Alternative Hypothesis (\(H_1\)): \(p < 0.8\)

**Instruction:**
Select the correct null and alternative hypotheses to appropriately test the effectiveness of the sustained care program in achieving an 80% smoking cessation rate. The correct choice will help determine the validity of the original claim.
Transcribed Image Text:**Title: Statistical Hypothesis Testing in Smoking Cessation Programs** **Overview:** In a study aimed at assisting patients in quitting smoking, 243 participants received sustained care. After one month, 80.7% had quit smoking. This scenario is used to test the hypothesis that 80% of patients stop smoking with sustained care. The significance level for this statistical test is set at 0.05. **Objective:** To identify the null and alternative hypotheses to validate the claim regarding the success rate of smoking cessation. **Hypothesis Options:** - **Option A:** - Null Hypothesis (\(H_0\)): \(p = 0.8\) - Alternative Hypothesis (\(H_1\)): \(p \neq 0.8\) - **Option B:** - Null Hypothesis (\(H_0\)): \(p = 0.8\) - Alternative Hypothesis (\(H_1\)): \(p > 0.8\) - **Option C:** - Null Hypothesis (\(H_0\)): \(p \neq 0.8\) - Alternative Hypothesis (\(H_1\)): \(p = 0.8\) - **Option D:** - Null Hypothesis (\(H_0\)): \(p = 0.8\) - Alternative Hypothesis (\(H_1\)): \(p < 0.8\) **Instruction:** Select the correct null and alternative hypotheses to appropriately test the effectiveness of the sustained care program in achieving an 80% smoking cessation rate. The correct choice will help determine the validity of the original claim.
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