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, researchers conducted a randomized controlled study where 158 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 77 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 81 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. Test to see if migraine pain relief is dependent on receiving acupuncture. Use αα = 0.1.
|Pain Free: Yes||Pain Free: No||Total|
a) What is the correct null hypothesis?
b) Fill in the expected values, round answers to at least 2 decimal places.
|Expected Values||Pain Free: Yes||Pain Free: No|
c) Find the test statistic, round answer to 1 decimal place.
d) What is the p-value? Round answer to at least 3 decimal
The p-value is...
This P-Value leads to a decision to...
e) What is the correct conclusion?
The statistical software output for this problem is :
H0: Migraine pain relief is independent on receiving acupuncture.
Test statistics = 8.4
P-value = 0.004
The p-value is Less than α
Reject the null hypothesis
There is statistical evidence that migraine pain relief is dependent on receiving acupuncture.
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