Question

A medical researcher is studying the effects of a drug on blood pressure. Subjects in the study have their blood pressure taken at the beginning of the study. After being on the medication for 4 weeks, their blood pressure is taken again. The change in blood pressure is recorded and used in doing the hypothesis test.

Change: Final Blood Pressure - Initial Blood Pressure

The researcher wants to know if there is evidence that the drug reduces blood pressure. At the end of 4 weeks, 32 subjects in the study had an average change in blood pressure of -1.9 with a standard deviation of 4.8.

Find the p-value for the hypothesis test.

Your answer should be rounded to 4 decimal places.

Thanks!

Answer 1

Below are the null and alternative Hypothesis,
Null Hypothesis: μ(d) = 0
Alternative Hypothesis: μ(d) < 0

Test statistic,
t = (dbar - 0)/(s(d)/sqrt(n))
t = (-1.9 - 0)/(4.8/sqrt(32))
t = -2.239

P-value Approach
P-value = 0.0162