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 168 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. 102 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 = 0.1. Pain Free: Yes Pain Free: No Total Treatment Control 13 53 95 148 66 7 102 Total 20 168 a) What is the correct null hypothesis? 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 O Ho: Pi + P2 # P3 P4 b) Fill in the expected values, round answers to at least 2 decimal places. Expected Values Pain Free: Yes Pain Free: No Treatment Control Answers show on last attempt Treatment Control Pain Free: Pain Free: No Yes 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 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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Migraine and Acupuncture: Amigraine 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 168 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. 102 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 =
0.1.
Pain Free: Yes
Pain Free: No
Total
Treatment
13
53
66
Control
7
95
102
Total
20
148
168
a) What is the correct null hypothesis?
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
O Ho: Pi P2 + P3 # P4
b) Fill in the expected values, round answers to at least 2 decimal places.
Expected
Values
Pain Free: Yes
Pain Free: No
Treatment
Control
Answers show on
last attempt
Treatment
Pain
Pain Free:
Yes
Free: No
Control
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
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.
Transcribed Image Text:Migraine and Acupuncture: Amigraine 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 168 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. 102 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 = 0.1. Pain Free: Yes Pain Free: No Total Treatment 13 53 66 Control 7 95 102 Total 20 148 168 a) What is the correct null hypothesis? 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 O Ho: Pi P2 + P3 # P4 b) Fill in the expected values, round answers to at least 2 decimal places. Expected Values Pain Free: Yes Pain Free: No Treatment Control Answers show on last attempt Treatment Pain Pain Free: Yes Free: No Control 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 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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