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The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist...

The proportion of Americans who have frequent migraines is 15.2% according to the CDC. An acupuncturist claims that her treatment can reduce this figure significantly. A random sample of 474 Americans is administered the acupuncturists treatment and 52 report experiencing migraines.

a. State Hypotheses to the scenario using the correct symbols.

b. What is the sample proportion? (Round to 2 decimal places).

c. Suppose the P-value is calculated to be 0.0066

What would your decision be for this test using α=α= 0.10? (A. reject the null, B. fail to reject the null, or C. accept the null).

d. Write a conclusion in terms of the acupuncturist's claim. Use the model provided by the instructor. Assume no errors were made.

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Answer #1

\a)

H0 : p = 0.152
Ha: p < 0.152

b)

Sample proportion = 52/474 = 0.11

c)

Reject The null as p value < 0.10

d)

There is sufficient evidence to support the claim that the treatment can reduce this figure significantly

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