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 163 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 71 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 92 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 = 0.05. Pain Free: Yes Pain Free: No Total Treatment 16 55 71 Control 9 83 92 Total 25 138 163 a) What is the correct null hypothesis? O Họ: Migraine pain relief is dependent on receiving acupuncture. Ho: P1 = P2 = P3 = P4 O Ho: P1 + P2 # pP3 # P4 O Ho: Migraine pain relief is independent 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 Answers show on Pain Free: Pain last attempt Treatment Control Yes Free: No 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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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 163 patients diagnosed with migraine
headaches were randomly assigned to one of two groups: treatment or control. 71 patients in the
treatment group received acupuncture that is specifically designed to treat migraines. 92 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 =
0.05.
Pain Free: Yes
Pain Free: No
Total
Treatment
16
55
71
Control
9
83
92
Total
25
138
163
a) What is the correct null hypothesis?
O Họ: Migraine pain relief is dependent on receiving acupuncture.
O Họ: P1 = P2 = P3 = P4
O Họ: P1 + P2 P3 + P4
O Ho: Migraine pain relief is independent 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
Answers show on
Pain Free:
Pain
last attempt
Yes
Free: No
Treatment
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
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 163 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 71 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 92 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 = 0.05. Pain Free: Yes Pain Free: No Total Treatment 16 55 71 Control 9 83 92 Total 25 138 163 a) What is the correct null hypothesis? O Họ: Migraine pain relief is dependent on receiving acupuncture. O Họ: P1 = P2 = P3 = P4 O Họ: P1 + P2 P3 + P4 O Ho: Migraine pain relief is independent 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 Answers show on Pain Free: Pain last attempt Yes Free: No Treatment 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
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