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 82 females diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 38 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 44 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).

	Pain free	Not pain free	Total
Treatment Group	8	30	38
Control Group	4	40	44
Total	12	70	82

a) What percent of patients in the treatment group were pain free 24 hours after receiving acupuncture?
Round to four decimal places.  %

b) What percent of patients in the control group were pain free 24 hours after receiving acupuncture?
Round to four decimal places.  %

c) At first glance, does acupuncture appear to be an effective treatment for migraines? Explain your reasoning.

A. Yes, 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 lower 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 higher than the percent of patients in the control group.
D. 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.

Answer 1

Que.a

There are total 38 patients in the treatment group out of which 8 were pain free. Therefore

Percent of patients in the treatment group were pain free 24 hours after receiving acupuncture =

Que.b

There are total 44 patients in the control group out of which 4 were pain free. Therefore

Percent of patients in the control group were pain free 24 hours after receiving acupuncture =

Que.c

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.