Question

In a large clinical​ trial,

390,444

children were randomly assigned to two groups. The treatment group consisted of

195,174

children given a vaccine for a certain​disease, and

30

of those children developed the disease. The other

195,270

children were given a​ placebo, and

105

of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of

n1

ModifyingAbove p with caret p1​,

ModifyingAbove q with caret q1​,

n2

ModifyingAbove p with caret p2​,

ModifyingAbove q with caret q2​,

p overbar

and

q overbar

Answer 1

Solution:

Given:

In a large clinical​ trial, 390,444 children were randomly assigned to two groups.
The treatment group consisted of 195,174 children given a vaccine for a certain​ disease, and 30 of those children developed the disease.

Thus

n₁ = Number of children given a vaccine for a certain​ disease = 195174 and

x₁ = Number of those children developed the disease = 30

The other 195,270 children were given a​ placebo, and 105 of those children developed the disease.

n₂ = Number of children given a placebo for a certain​ disease = 195270 and

x₂ = Number of those children developed the disease = 105

Consider the vaccine treatment group to be the first sample.

Find:

i)

ii)

iii)

iv)

v)

vi)

vii)

viii)