In a clinical trial of a vaccine,
8 comma 0008,000
children were randomly divided into two groups. The subjects in group 1 (the experimental group) were given the vaccine while the subjects in group 2 (the control group) were given a placebo. Of the
4 comma 0004,000
children in the experimental group,
7272
developed the disease. Of the
4 comma 0004,000
children in the control group,
108108
developed the disease.
Question content area bottom
Part 1
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
alphaαequals=0.050.05
level of significance.
Part 2
Choose the correct null and alternative hypotheses below.
A.
Upper H 0 : p 1 equals 0H0: p1=0
versus Upper H 1 : p 1 less than 0H1: p1<0
B.
Upper H 0 : p 1 equals p 2H0: p1=p2
versus Upper H 1 : p 1 not equals p 2H1: p1≠p2
C.
Upper H 0 : p 1 equals p 2H0: p1=p2
versus Upper H 1 : p 1 less than p 2H1: p1