Question 7 Captopril is a drug designed to lower systolic blood pressure. When s
ID: 3176486 • Letter: Q
Question
Question 7
Captopril is a drug designed to lower systolic blood pressure. When subjects were treated with this drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the accompanying table (based on data from “Essential Hypertension: Effect of an Oral Inhibitor of Angiotensin-Converting Enzyme,” by MacGregor et al., British Medical Journal, Vol.2 ). Using a 0.01 significance level, is there sufficient evidence to support the claim that Captopril is effective in lowering systolic blood pressure? Assume that the paired sample data are simple random samples and that the differences have a distribution that is approximately normal.
Subject A - Before 200 ; After 191
Subject B - Before 174 ; After 170
Subject C - Before 198 ; After 177
Subject D - Before 170 ; After 167
Subject E - Before 179 ; After 159
Subject F - Before 182 ; After 151
Subject G - Before 193 ; After 176
Subject H- Before 209 ; After 183
Subject I - Before 185 ; After 159
Subject J - Before 155 ; After 145
Subject K - Before 169 ; After 146
Subject L - Before 210 ; After 177
D. Test statistic: , critical value: , - value >0.4, fail to reject
E. Test statistic: , critical values: , - value <0.001, reject
Explanation / Answer
difference = 9 ,4,21,3,20,31,17,26,26,10,23,33
n = 12 ,mean = 18.5833. sd = 10.10363
we will use t-statistics
critical value = 2.718 {0.01 , df = 12-1 = 11}
Test-statistics = ( 18.5833-0) /(10.10363/sqrt(12)) = 6.37
we reject the null as Test statistic is greater tahn critical .
p-value is P(T > 6.37) < 0.0005
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