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

A solved assignment on hypothesis testing and confidence intervals.

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    Statistical Hypothesis Testing, Confidence Intervals, and Decision Making in Research Studies __________________ READ THE DIRECTIONS. Name Round final answers 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 of 85 points for this exam. Again, please write answers in BOLD. If it is a multiple choice question, please highlight the correct answer. If requested to answer in prose, use 20 words or less, (we only look at the first 20 words for the answer). These answers need not be in ful l sentences, bullets are acceptable. Symbols you may need to cut and paste into your answers: χ 2 μ σ 2 x ത ± √ ≥ ≤ β α Φ 1. (2) If the p - value of a test yields p = 0.3879, one would: a. reject the null b. not reject the null c. not enough information to answer the question 2 . (2) You are reading an article detailing a study designed to compare the average body mass index among hypertensive individuals (persons with high blood pressure) to normotensive individuals. The study was conducted using participants in a health plan offered by a large insurance carrier. Two - hundred randomly selected hypertensive participants were compared to 200 randomly selected normotensive participants. The study reports a 95% CI of (0.15 kg/m 2 , 2.43 kg/m 2 ) for the difference in the mean BMI between hypertensive and normotensive individuals. However, no p - value was reported for the test of the null hypothesis of no mean difference in BMI between the two groups. Which of the follow is true ? a. T he p - value is <0.05 b. T he p - value is > 0.05 c. T he p - value is = 0.05 d. T he p - value is = 0.15 3 . (2) Suppose you are testing H 0 : μ 1 = μ 2 + 3 vs. H A : μ 1 ≠ μ 2 + 3 and the resulting confidence interval calculated for μ 1 - μ 2 is (1.03,3.27): a. T h e resulting p - value of the test of hypothesis would reject the null b . t he resulting p - value of the test of hypothesis would not reject the null c . t he resulting p - value of the test of hypothesis would be inconclusive d. n one of the above

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