To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 178 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 64 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 114 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 table below. Test to see if migraine pain relief is dependent on receiving acupuncture. Use a = 0.05. Pain Free: Yes Pain Free: No Total 64 114 178 Treatment Control Total 18 7 25 a) What is the correct null hypothesis? O Ho: P1 P2 = P3 = P4 O Ho: Migraine pain relief is independent on receiving acupuncture. O Ho: Migraine pain relief is dependent on receiving acupuncture. O Ho: P1 P2 P3 P4 46 107 153 b) Fill in the expected frequency, round answers to at least 4 decimal places. Expected Frequency Treatment d) What is the p-value? Pain Free: Yes c) Find the test statistic, round answer to at least 3 decimal places. e) What is the correct conclusion? O There is no statistical evidence that migraine pain relief is dependent on receiving acupuncture. O There is statistical evidence that migraine pain relief is dependent on receiving acupuncture.
To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where 178 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 64 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 114 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 table below. Test to see if migraine pain relief is dependent on receiving acupuncture. Use a = 0.05. Pain Free: Yes Pain Free: No Total 64 114 178 Treatment Control Total 18 7 25 a) What is the correct null hypothesis? O Ho: P1 P2 = P3 = P4 O Ho: Migraine pain relief is independent on receiving acupuncture. O Ho: Migraine pain relief is dependent on receiving acupuncture. O Ho: P1 P2 P3 P4 46 107 153 b) Fill in the expected frequency, round answers to at least 4 decimal places. Expected Frequency Treatment d) What is the p-value? Pain Free: Yes c) Find the test statistic, round answer to at least 3 decimal places. e) What is the correct conclusion? O There is no statistical evidence that migraine pain relief is dependent on receiving acupuncture. O 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:To determine whether acupuncture relieves migraine pain, researchers conducted a randomized
controlled study where 178 patients diagnosed with migraine headaches were randomly assigned to
one of two groups: treatment or control. 64 patients in the treatment group received acupuncture
that is specifically designed to treat migraines. 114 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 table below.
Test to see if migraine pain relief is dependent on receiving acupuncture. Use a = 0.05.
Pain Free: Yes Pain Free: No
Total
Treatment
Control
Total
18
7
25
46
107
153
a) What is the correct null hypothesis?
O Ho: P1 P2 = P3 = P4
O Ho: Migraine pain relief is independent on receiving acupuncture.
O Ho: Migraine pain relief is dependent on receiving acupuncture.
○ Ho: P1 P2 P3 P4
b) Fill in the expected frequency, round answers to at least 4 decimal places.
Expected
Frequency
Treatment
d) What is the p-value?
64
114
178
Pain Free: Yes
c) Find the test statistic, round answer to at least 3 decimal places.
e) What is the correct conclusion?
O There is no statistical evidence that migraine pain relief is dependent on receiving
acupuncture.
O There is statistical evidence that migraine pain relief is dependent on receiving acupuncture.
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