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 randomized controlled study where 155 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 65 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 90 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 a = 0.05. Treatment Control Total 0 Pain Free: Yes Pain Free: No 15 4 19 a) What is the correct null hypothesis? O Ho: P1 P2 = P3 = P4 O Ho: Migraine pain relief is dependent on receiving acupuncture. Ho: Migraine pain relief is independent on receiving acupuncture. O Ho: P1 P2 P3 P4 Expected Values Treatment Control 50 86 136 Total 65 90 155 b) Fill in the expected values, round answers to at least 1 decimal place. Pain Free: Yes Pain Free: No c) Find the test statistic, round answer to at least 2 decimal places.
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 randomized controlled study where 155 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 65 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 90 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 a = 0.05. Treatment Control Total 0 Pain Free: Yes Pain Free: No 15 4 19 a) What is the correct null hypothesis? O Ho: P1 P2 = P3 = P4 O Ho: Migraine pain relief is dependent on receiving acupuncture. Ho: Migraine pain relief is independent on receiving acupuncture. O Ho: P1 P2 P3 P4 Expected Values Treatment Control 50 86 136 Total 65 90 155 b) Fill in the expected values, round answers to at least 1 decimal place. Pain Free: Yes Pain Free: No c) Find the test statistic, round answer to at least 2 decimal places.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text: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 155 patients diagnosed with migraine
headaches were randomly assigned to one of two groups: treatment or control. 65 patients in the
treatment group received acupuncture that is specifically designed to treat migraines. 90 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 a =
0.05.
Treatment
Control
Total
Pain Free: Yes Pain Free: No
50
15
4
86
19
136
a) What is the correct null hypothesis?
O Ho: P₁ P2 = P3 = P4
O Ho: Migraine pain relief is dependent on receiving acupuncture.
Total
65
90
155
Ho: Migraine pain relief is independent on receiving acupuncture.
O Ho: P1 P2 P3 ‡ P4
Expected
Values
Treatment
Control
b) Fill in the expected values, round answers to at least 1 decimal place.
Pain Free: Yes
Pain Free: No
c) Find the test statistic, round answer to at least 2 decimal places.
d) What is the P-value? (Round answer to at least 3 decimal places)
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