Captopril is a drug designed to lower systolic blood pressure. When subjects wer

Question

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).
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Using a 0.01 significance level, test the claim that regular use of Captopril effectively lowers systolic blood pressure.

Results:
p-value = (round answer to nearest thousandth of a percent – 0.023%)

Conclusion:
We  sufficient evidence to support the claim that Captopril effectively reduces systolic blood pressure (p  0.01)
(Use “have” or “lack” for the first blank and “<” or “>” for the second blank.)

Subject A B C D E F G H I J K L Before 200 174 198 170 179 170 193 209 185 155 169 210 After 191 170 177 167 159 151 176 183 159 145 146 177

Explanation / Answer

The statistical software output for this problem is:

Paired T hypothesis test:
D = 1 - 2 : Mean of the difference between Before and After
H0 : D = 0
HA : D > 0
Hypothesis test results:

Hence,

p - Value = 0.000021 = 0.002%

Conclusion: p < 0.01, we have sufficient evidence to support the claim that Captopril effectively reduces systolic blood pressure.

Difference Mean Std. Err. DF T-Stat P-value Before - After 17.583333 2.6924652 11 6.5305704 <0.0001

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