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 136 Americans is administered the acupuncturists treatment and 14 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 0.0144What would your decision be for this test using α=α= 0.10?Accept the null, fail to reject the null or reject the nulld. Write a conclusion in terms of the acupuncturist's claim. Use the model provided by the instructor. Assume no errors were made. Reject HoP < aFail to Reject HoP > aDecisionReasonThe results of the sampledata support Ha and rejectHoThe results of the sample datado not support Ha and do notreject H.ConclusionExample 1: It's a Boy Genetics Labs claim their procedures improve the chances of a boybeing born. The results for a test of a single population proportion are as follows:Ho: p = 0.5Ha:p > 0.5a = 0.01P = 0.023Decision: Since P < a we reject the null hypothesisConclusion: The results of the sample data support the claim that It's a Boy Genetics Labsimprove the chances of a boy being born at the 0.01 level of significance.Example 2: The mean age of graduate students at PC University is claimed to be 30 years.The results of a test of a single population mean are as follows:Ho:H = 30Ha:u + 30a = 0.05P = 0.11Decision: Since P > a we fail to reject the null hypothesisConclusion: The results of the sample data do not reject the claim that the mean age ofgraduate students at PCU is 30 years at the 0.05 level of significance.Note: Notice how we always relate our conclusion back to the claim whether it is the null oralternative. In most cases the claim will be the alternative.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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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 136 Americans is administered the acupuncturists treatment and 14 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 0.0144

What would your decision be for this test using α=α= 0.10?

Accept the null, fail to reject the null or reject 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.