In a large clinical trial, 397,278 children were randomly assigned to two groups. The treatment group consisted of 198,417 children given a vaccine for a certain disease, and 30 of those children developed the disease. The other 198,861 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 $n_{1}, {\hat{p}}_{1}, {\hat{q}}_{1}, n_{2}, {\hat{p}}_{2}, {\hat{q}}_{2}, \bar{p}$ , and $\bar{q}$ .
$\begin{array}{l} n_{1} = 198, 417 \\ {\hat{p}}_{1} = 0.00015120 \end{array}$
(Type an integer or a decimal rounded to eight decimal places as needed.)
${\hat{q}}_{1} = 0.9998488$
(Type an integer or a decimal rounded to eight decimal places as needed.)
$\begin{array}{l} n_{2} = 198861 \\ {\hat{p}}_{2} = 0.00052801 \end{array}$
(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.)

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So, the final answer is ${\hat{q}}_{2} = 0.99947199$ .

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Step 1 ：Given that the proportion of children in the second group who developed the disease, denoted as ${\hat{p}}_{2}$ , is 0.00052801.

Step 2 ：The proportion of children in the second group who did not develop the disease, denoted as ${\hat{q}}_{2}$ , can be calculated as 1 - ${\hat{p}}_{2}$ .

Step 3 ：Substitute ${\hat{p}}_{2}$ into the equation: ${\hat{q}}_{2} = 1 - 0.00052801$ .

Step 4 ：Calculate the value to get ${\hat{q}}_{2} = 0.99947199$ .

Step 5 ：So, the final answer is ${\hat{q}}_{2} = 0.99947199$ .

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