(Solved): In a large clinical trial, 398,472 children were randomly assigned to two groups. The treatment gro ...

In a large clinical trial, 398,472 children were randomly assigned to two groups. The treatment group consisted of 200,401 children given a vaccine for a certain disease, and 30 of those children developed the disease. The other 198,071 children were given a placebo, and 100 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 $\bar{q}$. $n_1=$