Question

**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 158 patients diagnosed with migraine
headaches were randomly assigned to one of two groups: treatment or
control. 77 patients in the treatment group received acupuncture
that is specifically designed to treat migraines. 81 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 =
0.1.

Pain Free: Yes | Pain Free: No | Total | |
---|---|---|---|

Treatment |
20 | 57 | 77 |

Control |
7 | 74 | 81 |

Total |
27 | 131 | 158 |

a) What is the correct null hypothesis?

- H0H0: Migraine pain relief is independent on receiving acupuncture.
- H0H0: Migraine pain relief is dependent 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 |

c) Find the test statistic, round answer to 1 decimal place.

χ2χ2 =

d) What is the p-value? Round answer to at least 3 decimal
places

P-value =

The p-value is...

- Greater than αα
- Less than αα

This P-Value leads to a decision to...

- Fail to reject the null hypothesis.
- Reject the null hypothesis.

e) What is the correct conclusion?

- There is statistical evidence that migraine pain relief is dependent on receiving acupuncture.
- There is no statistical evidence that migraine pain relief is dependent on receiving acupuncture.

Answer #1

The statistical software output for this problem is :

H0: Migraine pain relief is independent on receiving acupuncture.

Test statistics = 8.4

P-value = 0.004

The p-value is Less than α

Reject the null hypothesis

There is statistical evidence that migraine pain relief is dependent on receiving acupuncture.

(1 point) 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, suppose researchers conducted a
randomized controlled study where 82 females diagnosed with
migraine headaches were randomly assigned to one of two groups:
treatment or control. 38 patients in the treatment group received
acupuncture that is specifically designed to treat migraines. 44
patients in the control group received placebo acupuncture (needle
insertion...

The makers of Excedrin Extra Strength advertise that
its fast-acting formula delivers extra strength headache relief in
no more than 15 minutes, on average. A consumer advocacy group
believes that this claim is incorrect, and that the true average
headache relief time is significantly longer than 15 minutes.
To test their belief, the consumer advocacy group took a random
sample of 45 hospital patients who were currently experiencing a
headache and administered a dose of Excedrin Extra
Strength pain reliever....

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