Question

In: Statistics and Probability

Suppose that a group of 700 smokers trying to quit were randomly selected to receive an...

Suppose that a group of 700 smokers trying to quit were randomly selected to receive an antidepressant drug or a placebo for six weeks. Of the 350 patients who received the antidepressant drug, 162162 were not smoking one year later. Of the 350 patients who received the placebo, 102 were not smoking one year later.

Test the claim that antidepressants are effective in helping people to quit smoking at a significance level of α=0.05

(a) State the null and alternative hypotheses:
Let p1 be the proportion that were still not smoking from the antidepressant group, and p2p2 be the proportion that were still not smoking from the placebo group. Type either "=", ">", "<", or "not =".

H0:p1  p2 , H1:p1  p2

(b) The critical value is

(c) The test value is

(d) Based on our results, we
A. Do not reject H0
B. Reject H0

(e) The final conclusion is that
A. There is promising evidence to suggest that antidepressants can help people quit smoking.
B. There is not sufficient evidence to say that antidepressants can help people quit smoking.

Note: If rounding your calculations in between steps, please round to at least six decimal places of accuracy.

Solutions

Expert Solution

orchestra answered 1 year ago
Next > < Previous

Related Solutions

Suppose a group of 700 smokers (who all wanted to give up smoking) were randomly assigned...
Suppose a group of 700 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 164 patients who received the antidepressant drug, 41 were not smoking one year later. Of the 536 patients who received the placebo, 107 were not smoking one year later. Given the null hypothesis H0:(pdrug−pplacebo)=0 and the alternative hypothesis Ha:(pdrug−pplacebo)≠0, conduct a test to see if taking an antidepressant drug can help...
Problem 4 A study of 250 randomly selected smokers who tried to quit smoking with nicotine...
Problem 4 A study of 250 randomly selected smokers who tried to quit smoking with nicotine patch therapy is conducted. After the study, it is found that 60% are still smoking a year later. Use a 5% significance to test the statement that among smokers who try to quit with nicotine patch therapy, less than 75% are still smoking a year later. Please include your requirements, null and alternative hypotheses, test statistic (show equation), p-value, decision rule and conclusion. Recalculate...
Suppose a group of 1000 smokers (who all wanted to give up smoking) were randomly assigned...
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 358 patients who received the antidepressant drug, 174 were not smoking one year later. Of the 642 patients who received the placebo, 64 were not smoking one year later. Given the null hypothesis H0:(pdrug−pplacebo)=0H0:(pdrug−pplacebo)=0 and the alternative hypothesis Ha:(pdrug−pplacebo)≠0Ha:(pdrug−pplacebo)≠0, conduct a test to see if taking an antidepressant drug can help...
Suppose a group of 1000 smokers (who all wanted to give up smoking) were randomly assigned...
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 271 patients who received the antidepressant drug, 65 were not smoking one year later. Of the 729 patients who received the placebo, 89 were not smoking one year later. Given the null hypothesis H0:(pdrug−pplacebo)=0 and the alternative hypothesis Ha:(pdrug−pplacebo)≠0, conduct a test to see if taking an antidepressant drug can help...
Suppose a group of 800 smokers (who all wanted to give up smoking) were randomly assigned...
Suppose a group of 800 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 405 patients who received the antidepressant drug, 39 were not smoking one year later. Of the 395 patients who received the placebo, 50 were not smoking one year later. Given the null hypothesis H0:(pdrug−pplacebo)=0 and the alternative hypothesis Ha:(pdrug−pplacebo)≠0, conduct a test to see if taking an antidepressant drug can help...
Suppose a group of 1000 smokers (who all wanted to give up smoking) were randomly assigned...
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 120 patients who received the antidepressant drug, 32 were not smoking one year later. Of the 880 patients who received the placebo, 50 were not smoking one year later. Given the null hypothesis H0:(pdrug−pplacebo)=0H0:(pdrug−pplacebo)=0 and the alternative hypothesis Ha:(pdrug−pplacebo)≠0Ha:(pdrug−pplacebo)≠0, conduct a test to see if taking an antidepressant drug can help...
Suppose a group of 800 smokers (who all wanted to give up smoking) were randomly assigned...
Suppose a group of 800 smokers (who all wanted to give up smoking) were randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 220 patients who received the antidepressant drug, 17 were not smoking one year later. Of the 580 patients who received the placebo, 271 were not smoking one year later. Given the null hypothesis ?0:(?????−????????)=0H0:(pdrug−pplacebo)=0 and the alternative hypothesis ??:(?????−????????)≠0Ha:(pdrug−pplacebo)≠0, conduct a test to see if taking an antidepressant drug can help...
(1 point) Suppose a group of 700 smokers (who all wanted to give up smoking) was...
(1 point) Suppose a group of 700 smokers (who all wanted to give up smoking) was randomly assigned to receive an antidepressant drug or a placebo for six weeks. Of the 141 patients who received the antidepressant drug, 48 were not smoking one year later. Of the 559 patients who received the placebo, 157 were not smoking one year later. Given the null hypothesis H0:(p drug−p placebo)=0 and the alternative hypothesis Ha:(p drug−p placebo)≠0 conduct a test to see if...
Of n1 randomly selected male smokers, X1 smoked filter cigarettes, whereas of n2 randomly selected female...
Of n1 randomly selected male smokers, X1 smoked filter cigarettes, whereas of n2 randomly selected female smokers, X2 smoked filter cigarettes. Let p1 and p2 denote the probabilities that a randomly selected male and female, respectively, smoke filter cigarettes. a) Show that (X1/n1)−(X2/n2) is an unbiased estimator for p1−p2. [Hint: E(Xi)=nipi for i=1,2.]? b) What is the standard error of the estimator in part (a)? c) How would you use the observed values x1 and x2 to estimate the standard...
In one study of smokers who tried to quit smoking with nicotine patch​ therapy, 35 were...
In one study of smokers who tried to quit smoking with nicotine patch​ therapy, 35 were smoking one year after treatment and 34 were not smoking one year after the treatment. Use a 0.10 significance level to test the claim that among smokers who try to quit with nicotine patch​ therapy, the majority are smoking one year after the treatment. Do these results suggest that the nicotine patch therapy is not​effective? The test statistic for this hypothesis test is _...
ADVERTISEMENT
Subjects
ADVERTISEMENT
Latest Questions
ADVERTISEMENT