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 a = .10. Treatment Control Total Pain Free: Yes Pain Free: No 23 54 7 74 30 128 a) What is the correct null hypothesis? Ho: Migraine pain relief is independent on receiving acupuncture. O Ho: Migraine pain relief is dependent on receiving acupuncture. b) Fill in the expected values, round answers to at least 2 decimal places. Expected Values Pain Free: Yes Pain Free: No Treatment Control Total 77 81 158 c) Find the test statistic, round answer to 1 decimal place. x² = d) What is the p-value? Round answer to at least 3 decimal places P-value = The p-value is... Less than a O Greater than a OF V This P-Value leads to a decision to... O Reject the null hypothesis. O Fail to reject the null hypothesis. e) What is the correct conclusion? O There is no statistical evidence that migraine pain relief is dependent on receiving acupuncture. There is statistical evidence that migraine pain relief is dependent on receiving acupuncture.
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 a = .10. Treatment Control Total Pain Free: Yes Pain Free: No 23 54 7 74 30 128 a) What is the correct null hypothesis? Ho: Migraine pain relief is independent on receiving acupuncture. O Ho: Migraine pain relief is dependent on receiving acupuncture. b) Fill in the expected values, round answers to at least 2 decimal places. Expected Values Pain Free: Yes Pain Free: No Treatment Control Total 77 81 158 c) Find the test statistic, round answer to 1 decimal place. x² = d) What is the p-value? Round answer to at least 3 decimal places P-value = The p-value is... Less than a O Greater than a OF V This P-Value leads to a decision to... O Reject the null hypothesis. O Fail to reject the null hypothesis. e) What is the correct conclusion? O There is no statistical evidence that migraine pain relief is dependent on receiving acupuncture. There is statistical evidence that migraine pain relief is dependent on receiving acupuncture.
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 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 a
= .10.
Or
Treatment
Control
Total
a) What is the correct null hypothesis?
Pain Free: Yes Pain Free: No
23
54
7
74
30
128
Ho: Migraine pain relief is independent on receiving acupuncture.
O Ho: Migraine pain relief is dependent on receiving acupuncture.
b) Fill in the expected values, round answers to at least 2 decimal places.
Expected
Values
Pain Free: Yes Pain Free: No
Treatment
Or
Control
c) Find the test statistic, round answer to 1 decimal place.
x² =
=
d) What is the p-value? Round answer to at least 3 decimal places
P-value =
The p-value is...
O Less than a
O Greater than a
Total
77
81
158
OF V
This P-Value leads to a decision to...
Reject the null hypothesis.
O Fail to reject the null hypothesis.
001
e) What is the correct conclusion?
O There is no statistical evidence that migraine pain relief is dependent on receiving acupuncture.
There is statistical evidence that migraine pain relief is dependent on receiving acupuncture.
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