(1 point) Migraine and acupuncture. A migraine is a particularly painful type of
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Question
(1 point) Migraine and acupuncture. A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, suppose researchers conducted a randomized controlled study where 92 females diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 45 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 47 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. Note: For parts a) and b) answer as a whole percentage (i.e. 65.3 not 0.653). (i.e. 65.3 not 0.653) Pain free Not pain free Total Treatment Group 10 35 45 43 47 Control Group4 Total 14 78 a) What percent of patients in the treatment group were pain free 24 hours after receiving acupuncture? Round to one decimal place. b) What percent of patients in the control group were pain free 24 hours after receiving acupuncture? Round to one decimal place. c) At first glance, does acupuncture appear to be an effective treatment for migraines? Explain your reasoning. A. No, because the percent of patients who were pain free in the treatment group is lower than the percent of patients in the control group. B. No, because the percent of patients who were pain free in the treatment group is higher than the percent of patients in the control group. C. Yes, because the percent of patients who were pain free in the treatment group is lower than the percent D. Yes, because the percent of patients who were pain free in the treatment group is higher than the percent of patients in the control group. of patients in the control group.Explanation / Answer
(a) The proportion who were pain free in 24 hours in the treatment group: 10/45 = 0.2222 i.e. 22.22%
(b)
The proportion who were pain free in 24 hours in the control group: 4/47 = 0.0851 i.e. 8.51%
(c) (D) Yes, becase the percent of patients who were pain free in the tretment group is higher than the percent of patients in the control group
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