11:10 AM Fri Aug 28 myopenmath.com 44 LTE 16 1.1 Migraine and Acupuncture: A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture reliev migraine pain, researchers conducted a randomized controlled study where 83 females diagnosed with grine headaches were randomly assigned to one of two groups: treatment or control. 48 patients in the ment group received acupuncture that is specifically designed to treat migraines. 35 patients in the control group received placebo acupuncture (needle insertion at non-acupoint locations). 24 hours after patients received acupuncture, they were asked if they were pain free. Results are summarized in the contingency table below. (please round answers to within one hundredth of a percent) Pain Free: Yes Pain Free: No Total Treatment 11 37 48 Control 2 33 35 Total 13 70 83 a) What percent of patients in the treatment group were pain free 24 hours after receiving acupuncture? b) What percent of patients in the control group were pain free after 24 hours? c) At first glance, does acupuncture appear to be an effective treatment for migraines? Explain your reasoning Yes, because a higher percentage of individuals in the treatment group were pain free after 24 hours. Yes, because more individuals in the treatment group were pain-free after 24 hours. no, because more than half of the individuals in the treatment group still experience pain 24 hours later. No, because there were fewer people in the treatment group. d) Do the data provide convincing evidence that there is a real pain reduction for those patients in the treatment group? Or do you think that the observed difference might just be due to chance? It is impossible to tell merely by comparing the sample proportions because the difference could be the result of random error in our sample Yes, the percentage of patients in the treatment group who were pain free 24 hours after treatment was much greater than the corresponding percentage of patients in the control group. 11:10 AM Fri Aug 28 myopenmath.com 44 LTE 16 1.1 Migraine and Acupuncture: A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture reliev migraine pain, researchers conducted a randomized controlled study where 83 females diagnosed with grine headaches were randomly assigned to one of two groups: treatment or control. 48 patients in the ment group received acupuncture that is specifically designed to treat migraines. 35 patients in the control group received placebo acupuncture (needle insertion at non-acupoint locations). 24 hours after patients received acupuncture, they were asked if they were pain free. Results are summarized in the contingency table below. (please round answers to within one hundredth of a percent) Pain Free: Yes Pain Free: No Total Treatment 11 37 48 Control 2 33 35 Total 13 70 83 a) What percent of patients in the treatment group were pain free 24 hours after receiving acupuncture? b) What percent of patients in the control group were pain free after 24 hours? c) At first glance, does acupuncture appear to be an effective treatment for migraines? Explain your reasoning Yes, because a higher percentage of individuals in the treatment group were pain free after 24 hours. Yes, because more individuals in the treatment group were pain-free after 24 hours. no, because more than half of the individuals in the treatment group still experience pain 24 hours later. No, because there were fewer people in the treatment group. d) Do the data provide convincing evidence that there is a real pain reduction for those patients in the treatment group? Or do you think that the observed difference might just be due to chance? It is impossible to tell merely by comparing the sample proportions because the difference could be the result of random error in our sample Yes, the percentage of patients in the treatment group who were pain free 24 hours after treatment was much greater than the corresponding percentage of patients in the control group
