When subjects were treated with a drug, their systolic blood pressure readings (
ID: 3218739 • Letter: W
Question
When subjects were treated with a drug, their systolic blood pressure readings (in mm Hg) were measured before and after the drug was taken. Results are given in the table below. Assume that the paired sample data is a simple random sample and that the differences have a distribution that is approximately normal. Using a 0.010.01 significance level, is there sufficient evidence to support the claim that the drug is effective in lowering systolic blood pressure? Before 179 183 189 164 169 155 175 167 188 210 206 180 After 147 144 155 148 186 156 162 177 179 179 152 185 In this example, mu Subscript dd is the mean value of the differences d for the population of all pairs of data, where each individual difference d is defined as the systolic blood pressure reading before the drug was taken minus the reading after the drug was taken. What are the null and alternative hypotheses for the hypothesis test?
A.H0:d=0 H1: d<0
B.H0: d s0 H1:d>0
C:H0:ud=0 H1:d>0
D.H0:ud0 H1: dequals=0
Identify the test statistic.
t=?
Identify the p-value?
p-value=?
Since the P-value is greater o rless
than the significance level? Either reject ofail to reject H0? There is insufficient or sufficient
evidence to support the claim that the drug is effective in lowering systolic blood pressure?
Explanation / Answer
What are the null and alternative hypotheses for the hypothesis test?
C:H0:ud=0 H1:d>0
Paired T-Test and CI: Befor, After
Paired T for Befor - After
N Mean StDev SE Mean
Befor 12 180.42 16.31 4.71
After 12 164.17 15.90 4.59
Difference 12 16.25 22.01 6.35
95% lower bound for mean difference: 4.84
T-Test of mean difference = 0 (vs > 0): T-Value = 2.56 P-Value = 0.013
Since the P-value 0.013<0.05we reject the Null Hypothesis and conclude that There is enough evidence to support the claim that The drug is effective in lowering the systolic blood pressure.
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