' Question 10' 'r A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 39 females diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 43 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 46 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 [Allais, 204 1}. (round answers to 2 decimoi pieces} _- _m-- 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] E c} At first glance, does acupuncture appear to be an effective treatment for migraines? Explain your reasoning. (:3 yes, because a higher percentage of individuals in the treatment group were pain-free after 24 hours (:3 no, because there were fewer people in the treatment group O yes, because more individuals in the treatment group were pain-free after 24 hours 0 no, because more than half of the individuals in the treatment group still experience pain 24 hours later 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? D Yes, 2395 is much higher than 4% C} It is impossible to tell merely by comparing the sample proportions because the difference could be the result of random error in our sample