In a program designed to help patients stop smoking, 177 patients were given sustained care, and 83.6% 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 null and alternative hypotheses for this test. Choose the correct answer below.O A. Ho: p = 0.8H;:p<0.8О В. Но: р30.8H1:p>0.8O C. Ho: p#0.8H1: p=0.8D. Ho: p=0.8H1: p#0.8Identify the test statistic for this hypothesis test.The test statistic for this hypothesis test is(Round to two decimal places as needed.)

Name: In a program designed to help patients stop smoking, 177 patients wer
Uploaded: 2022-12-07T18:52:48.000Z
Channel: Bartleby
Description: In a program designed to help patients stop smoking, 177 patients were given sustained care, and 83.6% 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 susta

Solution: From the given information, p-hat=0.836 and n=177.The given claim is that 80% of patients stop smoking when given sustained care. State the hypotheses. Null hypothesis: That is, the proportion of patients stop smoking when given sustained card is 0.8. Alternative hypothesis: That is, the proportion of patients stop smoking when given sustained card is not equal to 0.8. Thus, the correct option is D.Then, the test statistic is Thus, the test statistic for this hypothesis test is 1.20.The P-value is Thus, the P-value of the test is 0.2301.Rejection rule: If the P-value is less than or equal to 0.05, then reject the null hypothesis. Conclusion: Here, the P-value is 0.2301. This is greater than 0.05. By the rejection rule, do not reject the null hypothesis.