Question

The data below were collected to test the effectiveness of a drug to lower systolic blood pressure. Blood pressure (in mm of mercury) was measured before and after treatment for 12 patients: the results are shown. The company claims the drug is effective. Explore this claim through completing the given questions. Assume the population differences is approximately normal and that all conditions for testing are satisfied. 1 Subject Before A 200 B 174 c 198 D 170 E 179 F 182 G 19 H 209 K 169 185 L 210 155 After 191 170 127 162 159 151 176 183 159 145 146 177 4 3 33 Before 19 21 20 31 17 26 26 10 23 After Blank #1: The individual differences are given because these samples are Fill in the missing parts of the test to show it in its entirety: To explore whether the drug is effective, conduct a significance test using the hypotheses (do before after as the direction of subtraction) H : M difference = 0 Ho: Mdifference 0 Blank #2: Determine the correct alternative hypothesis by filling in the blank with < > or not equals. The test was conducted and the test statistic is t = 6.37 with corresponding p-value = 0.000026. Blank #3: Give the test decision: (reject or do not reject) Ho Blank #4: Evidence (favors or does not favor) that the drug is effective in lowering systolic blood pressure Blank #5: Could you be making a mistake with the conclusion made? (yes or no) Blank # 1 Blank # 2 Blank # 3 Blank #4 Blank # 5

Answer 1

Answer:

a)

Given,

The individual differences are given because these samples are paired.

b)

Ho : u < 0

Ha : u >= 0

test statistic t = 6.37

P value = 0.000026

c)

Here we observe that p value < alpha, so we reject Ho.

d)

So there is sufficient evidence to support the claim.

e)

No , due to smaller p value.