Question

(1 point) Suppose a group of 1000 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 122 patients who received the antidepressant drug, 50 were not smoking one year later. Of the 878 patients who received the placebo, 23 were not smoking one year later. a) Given the null hypothesis H? : p? = p? and the alternative hypothesis H? : p? ? p?, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ? = 0.1. The rejection region is: |z| > The test statistic is: z???? = The final conclusion is: A. we reject the null hypothesis that p? = p? and conclude that the antidepressant drug can help smokers stop smoking. B. we fail to reject the null hypothesis that p? = p?. b) Construct the 90% confidence interval for the difference between the proportions of those who gave up smoking with and without the antidepressant drug. < (p? - p?) < Which of the following is the correct interpretation of this confidence interval? A. There is a 90% chance that the difference between the proportions of smokers who gave up smoking with and without the antidepressant drug lies in the interval B. We can be 90% confident that the difference between the proportions of smokers who gave up smoking with and without the antidepressant drug lies in the interval C. None of the above

          (1 point) Suppose a group of 1000 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 122 patients who received the antidepressant drug, 50 were not smoking one year later. Of the 878 patients who received the placebo, 23 were not smoking one year later.

a) Given the null hypothesis H? : p? = p? and the alternative hypothesis H? : p? ? p?, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ? = 0.1.
The rejection region is: |z| >
The test statistic is: z???? =
The final conclusion is:
A. we reject the null hypothesis that p? = p? and conclude that the antidepressant drug can help smokers stop smoking.
B. we fail to reject the null hypothesis that p? = p?.
b) Construct the 90% confidence interval for the difference between the proportions of those who gave up smoking with and without the antidepressant drug.
< (p? - p?) <

Which of the following is the correct interpretation of this confidence interval?
A. There is a 90% chance that the difference between the proportions of smokers who gave up smoking with and without the antidepressant drug lies in the interval
B. We can be 90% confident that the difference between the proportions of smokers who gave up smoking with and without the antidepressant drug lies in the interval
C. None of the above

(1 point) Suppose a group of 1000 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 122 patients who received the antidepressant drug, 50 were not smoking one year later. Of the 878 patients who received the placebo, 23 were not smoking one year later.

a) Given the null hypothesis H? : p? = p? and the alternative hypothesis H? : p? ? p?, conduct a test to see if taking an antidepressant drug can help smokers stop smoking. Use ? = 0.1.
The rejection region is: |z| >
The test statistic is: z???? =
The final conclusion is:
A. we reject the null hypothesis that p? = p? and conclude that the antidepressant drug can help smokers stop smoking.
B. we fail to reject the null hypothesis that p? = p?.
b) Construct the 90% confidence interval for the difference between the proportions of those who gave up smoking with and without the antidepressant drug.
< (p? - p?) <

Which of the following is the correct interpretation of this confidence interval?
A. There is a 90% chance that the difference between the proportions of smokers who gave up smoking with and without the antidepressant drug lies in the interval
B. We can be 90% confident that the difference between the proportions of smokers who gave up smoking with and without the antidepressant drug lies in the interval
C. None of the above

Added by Megan B.

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