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.

Givensample size(n)=243sample proportion(p^)=0.807significance level(α)=0.05

Answered: In a program designed to help patients…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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