Question

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.
no, because there were fewer people in the treatment group.
no, because more than half of the individuals in the treatment group still experience pain 24 hours later.
yes, because more individuals in the treatment group were pain - free after 24 hours.

Explanation:

Step1: Calculate percentage for treatment group

The formula for percentage is $\frac{\text{Number of pain - free in treatment}}{\text{Total in treatment}}\times100$. So, $\frac{17}{57}\times100\approx 29.82\%$.

Step2: Calculate percentage for control group

Using the same percentage formula, $\frac{\text{Number of pain - free in control}}{\text{Total in control}}\times100$. So, $\frac{2}{33}\times100\approx 6.06\%$.

Step3: Analyze effectiveness

Comparing the percentages, a higher percentage of individuals in the treatment group were pain - free after 24 hours.

Answer:

a) $29.82$
b) $6.06$
c) Yes, because a higher percentage of individuals in the treatment group were pain - free after 24 hours.