Answered: Q: Suppose 100 hypertensive people are…

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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100%

Q: Suppose 100 hypertensive people are given an antihypertensive drug and the drug is effective in 19 of them. By effective, we mean their DBP is lowered by at least 10 mm Hg as judged from a repeat blood-pressure measurement 1 month after taking the drug.

(a)What is the best point estimate of the probability p of the drug being effective?

(b)

Suppose we know that 10% of all hypertensive patients who are given a placebo will have their DBP lowered by 10 mm Hg after 1 month. Can we carry out some procedure to be sure we are not simply observing the placebo effect? Compute a 95% confidence interval for p to be sure we are not simply observing the placebo effect. (Enter your answer using interval notation. Round your numerical values to two decimal places.)

Suppose we decide a better measure of the effectiveness of the drug is the mean decrease in blood pressure rather than the measure of effectiveness used previously. Let

d_i = x_i − y_i, i = 1, …, 100,

where

x_i = DBP

for the ith person before taking the drug and

y_i = DBP

for the ith person 1 month after taking the drug. Suppose the sample mean of the

d_i

is +5.6 and the sample variance is 121.0.

(d)

What is a 95% CI for the population mean of d? (Enter your answer using interval notation. Round your numerical values to two decimal places.)

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