Migraine and Acupuncture: A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupunc ture. To determine whether acupunc ture relieves migraine pain, researchers conducted a randomized controlled study where 161 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 62 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 99 patients in the control group received placebo acupuncture (needle insertion at non- acupoint locations). 24 hours after patients received acupunc ture, 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 13 49 62 Control Total 90 99 22 139 161 a) What is the correct null hypothesis? O Họ: Migraine pain relief is dependent on receiving acupunc ture. O Họ: Migraine pain relief is independent on receiving acupuncture. O Họ: P1 + P2 + Ps + pa O Họ: P1 = P2 = P – P4 b) Fill in the expected values, round answers to at least 4 decimal places. Expected Values Pain Free: Yes Pain Free: No Treatment Control Pain Free: No Pain Free: Answers show on last attempt Treatment Control Yes c) Find the test statistic, round answer to at least 4 decimal places. d) What is the p-value? e) What is the correct conclusion? O 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.
Migraine and Acupuncture: A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupunc ture. To determine whether acupunc ture relieves migraine pain, researchers conducted a randomized controlled study where 161 patients diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. 62 patients in the treatment group received acupuncture that is specifically designed to treat migraines. 99 patients in the control group received placebo acupuncture (needle insertion at non- acupoint locations). 24 hours after patients received acupunc ture, 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 13 49 62 Control Total 90 99 22 139 161 a) What is the correct null hypothesis? O Họ: Migraine pain relief is dependent on receiving acupunc ture. O Họ: Migraine pain relief is independent on receiving acupuncture. O Họ: P1 + P2 + Ps + pa O Họ: P1 = P2 = P – P4 b) Fill in the expected values, round answers to at least 4 decimal places. Expected Values Pain Free: Yes Pain Free: No Treatment Control Pain Free: No Pain Free: Answers show on last attempt Treatment Control Yes c) Find the test statistic, round answer to at least 4 decimal places. d) What is the p-value? e) What is the correct conclusion? O 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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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 161 patients diagnosed with
migraine headaches were randomly assigned to one of two groups: treatment or control. 62
patients in the treatment group received acupuncture that is specifically designed to treat
migraines. 99 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
13
49
62
Control
90
99
Total
22
139
161
a) What is the correct null hypothesis?
Ho: Migraine pain relief is dependent on receiving acupuncture.
Ho: Migraine pain relief is independent on receiving acupuncture.
O Ho: Pi + p2 + p3 + P4
O Ho: P1 = P2 = p3 = P4
b) Fill in the expected values, round answers to at least 4 decimal places.
Expected
Pain Free: Yes
Pain Free: No
Values
Treatment
Control
Pain
Answers show
Pain Free:
Free:
on last attempt
Yes
No
Treatment
Control
c) Find the test statistic, round answer to at least 4 decimal places.
d) What is the p-value?
e) What is the correct conclusion?
O 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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