Inference with Categorical Variables If you’re doing a confidence…
Question Answered step-by-step Inference with Categorical Variables If you’re doing a confidence… Inference with Categorical Variables If you’re doing a confidence interval:Show work on how formula was applied.Interpret the interval as a complete sentence.If you’re doing a hypothesis test:Write down the null and alternative hypotheses as a complete sentenceWrite down the calculator input and output values.Write the conclusion in a complete sentence.Exercise 1If 400 people are given a flu vaccine and 136 of them experienced some discomfort, construct a 95% confidence interval for the corresponding true discomfort rate. Exercise 2Suppose that we want to estimate what proportion of the adult population of the United States has high blood pressure, and we want to be “99% sure” that the margin of error of our estimate will not exceed ±2%. How large a sample will we need if we found research that states the true proportion was estimated to be p = 20%. Exercise 3Suppose that a nutritionist claims that fewer than 75% of the preschool children in a certain country have protein-deficient diets, and that a sample survey reveals that this is true for 206 preschool children in a sample of 300. Test this claim at the 5% significance level. Exercise 4To test the effectiveness of a new pain-relieving drug, 80 patients at a clinic were given a pill containing the drug and 80 others were given a placebo. At the 1% significance level, what can we conclude about the effectiveness of the drug if in the first group of 56 of the patients felt a beneficial effect while 38 of those who received the placebo felt a beneficial effect?Exercise 5 (Extra Credit)Determine if marital status and highest level of education are independent variables. For credit, follow all direction parts for a test of significance. No High SchoolHigh SchoolBachelor’sMaster’sGraduateNever Married18362196Married1236453621Divorced69933Widowed39963 Math Statistics and Probability MATH 152 Share QuestionEmailCopy link Comments (0)


