In a large clinical trial, 392,073 children were randomly assigned to two groups. The treatment group consisted of 197,019 children given a vaccine for a certain disease, and 35 of those children developed the disease. The other 195,054 children were given a placebo, and 113 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of
n_(1),hat(p)_(1),hat(q)_(1),n_(2),hat(p)_(2)
,
hat(q)_(2)(,)/(b)ar (p)
, and
/bar (q)
.
n_(1)=
◻
hat(p)_(1)=
◻
(Type an integer or a decimal rounded to eight decimal places as needed.)
hat(q)_(1)=
◻
(Type an integer or a decimal rounded to eight decimal places as needed.)
n_(2)=
hat(p)_(2)=
(Type an integer or a decimal rounded to eight decimal places as needed.)
hat(q)_(2)=
◻
(Type an integer or a decimal rounded to eight decimal places as needed.)
/bar (p)=
◻
(Type an integer or a decimal rounded to eight decimal places as needed.)
/bar (q)=
◻
(Type an integer or a decimal rounded to eight decimal places as needed.)