Acupuncture is widely used to prevent migraine attacks, but does it work? A stud

Question

Acupuncture is widely used to prevent migraine attacks, but does it work? A study investigated the effectiveness of acupuncture compared with sham acupuncture and with no acupuncture (patients left on the wait list) in individuals with migraines. Patients were randomly assigned to 1 of the 3 “treatments” for a period of eight weeks, after which they monitored their migraine attacks over the next three weeks. Here are summary data about the number of days in which each patient used pain medication for migraines or headaches during the monitoring period.

Wait list

x

x

x

A) State the null and alternative hypotheses, using a two-sided alternative hypothesis.

B) Show the calculation of the test statistic:

---- find the estimate of the standard error of the difference of xwait - xacupuncture

----- calculate the test statistic from the standard error and the sample averages

acupuntcure sham

Wait list

n

x

s n

x

s n

x

s 132 3.2 3.0 76 3.4 2.9 64 4.4 3.6

Explanation / Answer

A)

B) Computations for SE s:

Formula (in excel):

acupuntcure Vs Sham acupuntcure Vs wait list H0: accupuncture=sham H0: accupuncture=wait list Ha: accupuncturesham Ha: accupuncturewait list

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