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 260 Americans is administered the acupuncturists treatment and 31 report experiencing migraines. a. State Hypotheses to the scenario using the correct symbols. b. What is the sample proportion? (Round to 2 decimal places) ˆpp^= c. Suppose the P-value is calculated to be 0.0427 What would your decision be for this test using α=α= 0.05? fail to reject the null reject the null

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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 260 Americans is administered the acupuncturists treatment and 31 report experiencing migraines.

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

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

c. Suppose the P-value is calculated to be 0.0427

What would your decision be for this test using α=α= 0.05?

fail to reject the null

reject the null

accept the null   

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

 

Expert Solution
Step 1

a).The hypothesis to be tested here is-

H0:p=0.152H1:p<0.152

b). Here,

X=31

n=260

Therefore the required sample proportion is obatained as-

p^=Xn=31260=0.11923~0.12

 

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