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 156 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 76 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 80 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 = 0.01. Pain Free: Yes Pain Free: No Total Treatment 17 59 76 Control 8 72 80 Total 25 131 156 a) What is the correct null hypothesis? H0H0: Migraine pain relief is dependent on receiving acupuncture. H0H0: Migraine pain relief is independent on receiving acupuncture. H0H0: p1=p2=p3=p4p1=p2=p3=p4 H0H0: p1≠p2≠p3≠p4p1≠p2≠p3≠p4 Correct b) Fill in the expected values, round answers to at least 4 decimal places. Expected Values Pain Free: Yes Pain Free: No Treatment Control Answers show on last attempt Pain Free: Yes Pain Free: No Treatment Control c) Find the test statistic, round answer to at least 4 decimal places. d) What is the p-value?
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 156 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 76 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 80 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
Pain Free: Yes | Pain Free: No | Total | |
---|---|---|---|
Treatment | 17 | 59 | 76 |
Control | 8 | 72 | 80 |
Total | 25 | 131 | 156 |
a) What is the correct null hypothesis?
- H0H0: Migraine pain relief is dependent on receiving acupuncture.
- H0H0: Migraine pain relief is independent on receiving acupuncture.
- H0H0: p1=p2=p3=p4p1=p2=p3=p4
- H0H0: p1≠p2≠p3≠p4p1≠p2≠p3≠p4
b) Fill in the
Expected Values | Pain Free: Yes | Pain Free: No |
---|---|---|
Treatment | ||
Control |
Answers show on last attempt | Pain Free: Yes | Pain Free: No |
---|---|---|
Treatment | ||
Control |
c) Find the test statistic, round answer to at least 4 decimal places.
d) What is the p-value?
Trending now
This is a popular solution!
Step by step
Solved in 5 steps with 4 images