A research study examined the effects of a new drug versus a

A research study examined the effects of a new drug versus an old drug on hypertension. There were 172 people enrolled in the new drug trial, and 125 of them were hypertensive. For the old drug, 165 people were enrolled and of those, 76 were hypertensive. Was there a difference in the percentage of people who were hypertensive between the new drug and the old drug? Calculate the z, t, or chi-square test and choose the value in the answer below. Select one: a. 4.98 b. 5.36 c. 4.17 d. 5.89

Solution

Z - Test

Test Statistic
Sample 1 : X1 =125, n1 =172, P1= X1/n1=0.727
Sample 2 : X2 =76, n2 =165, P2= X2/n2=0.461
Finding a P^ value For Proportion P^=(X1 + X2 ) / (n1+n2)
P^=0.596
Q^ Value For Proportion= 1-P^=0.404
we use Test Statistic (Z) = (P1-P2)/(P^Q^(1/n1+1/n2))
Zo =(0.727-0.461)/Sqrt((0.596*0.404(1/172+1/165))
Zo =4.98