Suppose that you are interested in determining whether the advice given by a physician during a routine physical examination is effective in encouraging patients to stop smoking. In a study of current smokers, one group of patients was given a brief talk about the hazards of smoking and was encouraged to quit. A second group received no advice pertaining to smoking. All patients were given a follow-up exam. In the sample of 114 patients who had received the advice, 11 reported that they had quit smoking; in the sample of 96 patients who had not, 7 had quit smoking. (a) Estimate the true difference in population proportions p1 – P2- (b) Construct a 95% confidence interval for this difference. (c) At the 0.05 level of significance, test the null hypothesis that the proportions of patients who quit smoking are identical for those who received advice and those who did not.
Suppose that you are interested in determining whether the advice given by a physician during a routine physical examination is effective in encouraging patients to stop smoking. In a study of current smokers, one group of patients was given a brief talk about the hazards of smoking and was encouraged to quit. A second group received no advice pertaining to smoking. All patients were given a follow-up exam. In the sample of 114 patients who had received the advice, 11 reported that they had quit smoking; in the sample of 96 patients who had not, 7 had quit smoking. (a) Estimate the true difference in population proportions p1 – P2- (b) Construct a 95% confidence interval for this difference. (c) At the 0.05 level of significance, test the null hypothesis that the proportions of patients who quit smoking are identical for those who received advice and those who did not.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Question
Part a b and c
![7. Suppose that you are interested in determining whether the advice given by a physician during
a routine physical examination is effective in encouraging patients to stop smoking. In a study of
current smokers, one group of patients was given a brief talk about the hazards of smoking and was
encouraged to quit. A second group received no advice pertaining to smoking. All patients were
given a follow-up exam. In the sample of 114 patients who had received the advice, 11 reported that
they had quit smnoking; in the sample of 96 patients who had not, 7 had quit smoking.
(a) Estimate the true difference in population proportions p1 – 2-
(b) Construct a 95% confidence interval for this difference.
(c) At the 0.05 level of significance, test the null hypothesis that the proportions of patients who
quit smoking are identical for those who received advice and those who did not.
(d) Do you believe that the advice given by physicians is effective? Why or why not?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe626c0b2-59cc-4988-8fd3-ce57909bf1cc%2F2cc16544-4227-4342-9273-9a3382d5562c%2Fsdvmjap_processed.jpeg&w=3840&q=75)
Transcribed Image Text:7. Suppose that you are interested in determining whether the advice given by a physician during
a routine physical examination is effective in encouraging patients to stop smoking. In a study of
current smokers, one group of patients was given a brief talk about the hazards of smoking and was
encouraged to quit. A second group received no advice pertaining to smoking. All patients were
given a follow-up exam. In the sample of 114 patients who had received the advice, 11 reported that
they had quit smnoking; in the sample of 96 patients who had not, 7 had quit smoking.
(a) Estimate the true difference in population proportions p1 – 2-
(b) Construct a 95% confidence interval for this difference.
(c) At the 0.05 level of significance, test the null hypothesis that the proportions of patients who
quit smoking are identical for those who received advice and those who did not.
(d) Do you believe that the advice given by physicians is effective? Why or why not?
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