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 151 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 66 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 85 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 = 0.01. Treatment Control Total Pain Free: Yes Pain Free: No 15 51 5 80 20 131 Total 66 85 151 a) What is the correct null hypothesis? Ho: There is no relationship between migraine pain relief and treatment by acupuncture. Ho: There is a relationship between migraine pain relief and treatment by acupuncture. Ho:p1 = P2 = P3 = P4 Ho: P1 P2 P3 ‡ P4 b) What is the correct alternative hypothesis? O HA: There is no relationship between migraine pain relief and treatment by acupuncture. ⒸHA: There is a relationship between migraine pain relief and treatment by acupuncture. OHA:P1 = P2 = P3 = P4 HA: P₁ P2 P3 ‡ P4 c) Find the test statistic, round answer to at least 3 decimal places. d) What is the p-value? Round answer to at least 3 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 a randomized controlled study where 151 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 66 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 85 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 = 0.01. Treatment Control Total Pain Free: Yes Pain Free: No 15 51 5 80 20 131 Total 66 85 151 a) What is the correct null hypothesis? Ho: There is no relationship between migraine pain relief and treatment by acupuncture. Ho: There is a relationship between migraine pain relief and treatment by acupuncture. Ho:p1 = P2 = P3 = P4 Ho: P1 P2 P3 ‡ P4 b) What is the correct alternative hypothesis? O HA: There is no relationship between migraine pain relief and treatment by acupuncture. ⒸHA: There is a relationship between migraine pain relief and treatment by acupuncture. OHA:P1 = P2 = P3 = P4 HA: P₁ P2 P3 ‡ P4 c) Find the test statistic, round answer to at least 3 decimal places. d) What is the p-value? Round answer to at least 3 decimal places
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
100%
I need the right answer to b, c, and d.
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 151 patients diagnosed with migraine
headaches were randomly assigned to one of two groups: treatment or control. 66 patients in the
treatment group received acupuncture that is specifically designed to treat migraines. 85 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 =
0.01.
Treatment
Control
Total
Pain Free: Yes Pain Free: No
15
51
5
80
20
131
Total
66
85
151
a) What is the correct null hypothesis?
Ho: There is no relationship between migraine pain relief and treatment by acupuncture.
Ho: There is a relationship between migraine pain relief and treatment by acupuncture.
Ho:p1 = P2 = P3 P4
Ho: P₁ ‡ P2 ‡ P3 ‡ P4
=
b) What is the correct alternative hypothesis?
HA: There is no relationship between migraine pain relief and treatment by acupuncture.
HA: There is a relationship between migraine pain relief and treatment by acupuncture.
P2 P3 P4
HA:P1
○ HA: P1 P2 ‡ P3 ‡ P4
c) Find the test statistic, round answer to at least 3 decimal places.
d) What is the p-value? Round answer to at least 3 decimal places
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