In a clinical trial of a vaccine, 12,000 children were randomly divided into gro
ID: 3127308 • Letter: I
Question
In a clinical trial of a vaccine, 12,000 children were randomly divided into groups. The subjects in group 1 were given the vaccine while the subjects in group 2(the control group) were given a placebo. Of the 6,000 children in the experimental group. 75 developed the disease. Of the 6,000 children the control group. 102 developed the disease. Determine whether the proportion of subjects in the experimental group who contracted the disease is less than the proportion of subjects in the control group who contracted the disease at the a=0.05 level of significance.Explanation / Answer
Null Hypothesis, There Is No Significance between them Ho: p1 > p2
Alternate Hypothesis, There Is Significance between them H1: p1 < p2
Test Statistic
Sample 1 : X1 =75, n1 =6000, P1= X1/n1=0.013
Sample 2 : X2 =102, n2 =6000, P2= X2/n2=0.017
Finding a P^ value For Proportion P^=(X1 + X2 ) / (n1+n2)
P^=0.015
Q^ Value For Proportion= 1-P^=0.985
we use Test Statistic (Z) = (P1-P2)/(P^Q^(1/n1+1/n2))
Zo =(0.013-0.017)/Sqrt((0.015*0.985(1/6000+1/6000))
Zo =-2.045