Statistical Hypothesis Testing, Confidence Intervals, and Decision Making in Research Studies

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Statistical Hypothesis Testing, Confidence Intervals, and Decision Making inResearch Studies__________________READ THE DIRECTIONS.NameRoundfinalanswers to two decimal places.α= 0.05 unless otherwise specified.The numbers in (#) are the number of points for that question. There are a total of85points forthis exam.Again, please write answers inBOLD.If it is a multiple choice question, please highlightthecorrectanswer.If requested to answer in prose, use 20 words or less, (we only look at the first20 words for the answer). These answers need not bein full sentences, bullets are acceptable.Symbols you may need to cut and paste into your answers:χ2μσ2xത±√≥≤βαΦ1.(2)If the p-value of a test yields p = 0.3879, one would:a. reject the nullb. not reject the nullc. not enough information to answer the question2.(2)You are reading an article detailing a study designed to compare the average body massindex among hypertensive individuals (persons with high blood pressure) to normotensiveindividuals. The study was conducted using participants in a health plan offered by a largeinsurance carrier. Two-hundred randomly selected hypertensive participants were compared to200 randomly selected normotensive participants. The study reports a 95% CI of (0.15 kg/m2,2.43 kg/m2) for thedifference inthe meanBMI between hypertensive and normotensiveindividuals. However, no p-value was reported for the test of the nullhypothesis of no meandifference in BMI between the two groups. Which of the follow is true?a.The p-value is <0.05b. The p-value is > 0.05c. The p-value is = 0.05d. The p-value is = 0.153.(2)Suppose you are testing H0:μ1=μ2+ 3 vs. HA:μ1≠μ2+ 3 and the resulting confidenceinterval calculated forμ1-μ2is (1.03,3.27):a. The resulting p-value of the test of hypothesis would reject the nullb.the resulting p-value of the test of hypothesis would not reject the nullc. the resulting p-value of the test of hypothesis would be inconclusived.none of the above

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