b) Fill in the expected values, round answers to at least 1 decimal place. Expected Values Treatment Control Pain Free: Yes Pain Free: No c) Find the test statistic, round answer to at least 2 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 155 patients diagnosed with migraine
headaches were randomly assigned to one of two groups: treatment or control. 79 patients in the
treatment group received acupuncture that is specifically designed to treat migraines. 76 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.
Treatment
Control
Total
∞º
Pain Free: Yes Pain Free: No
20
6
26
a) What is the correct null hypothesis?
O Ho: Migraine pain relief is dependent on receiving acupuncture.
O Ho: P1 = P2 = P3 = P4
O Ho: P1 P2 P3 P4
Ho: Migraine pain relief is independent on receiving acupuncture.
Expected
Values
Treatment
Control
59
70
129
b) Fill in the expected values, round answers to at least 1 decimal place.
Total
79
76
155
Pain Free: Yes
Pain Free: No
c) Find the test statistic, round answer to at least 2 decimal places.
d) What is the P-value? (Round answer to at least 3 decimal places)
e) What is the correct conclusion?
There is statistical evidence that migraine pain relief is dependent on receiving acupuncture.
O There is no statistical evidence that migraine pain relief is dependent on receiving acupuncture.
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 155 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 79 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 76 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. Treatment Control Total ∞º Pain Free: Yes Pain Free: No 20 6 26 a) What is the correct null hypothesis? O Ho: Migraine pain relief is dependent on receiving acupuncture. O Ho: P1 = P2 = P3 = P4 O Ho: P1 P2 P3 P4 Ho: Migraine pain relief is independent on receiving acupuncture. Expected Values Treatment Control 59 70 129 b) Fill in the expected values, round answers to at least 1 decimal place. Total 79 76 155 Pain Free: Yes Pain Free: No c) Find the test statistic, round answer to at least 2 decimal places. d) What is the P-value? (Round answer to at least 3 decimal places) e) What is the correct conclusion? There is statistical evidence that migraine pain relief is dependent on receiving acupuncture. O There is no statistical evidence that migraine pain relief is dependent on receiving acupuncture.
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