In a large clinical trial, 390,970 children were randomly assigned to two groups. The treatment group consisted of 193,740 children given a vaccine for a certain disease, and 35 of those children developed the disease. The other 197,230 children were given a placebo, and 112 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n₁. P₁. ₁. ₂. P₂. 9₂. P. and q. (Type an integer or a decimal rounded to eight decimal places as needed.) 9₁-0 (Type an integer or a decimal rounded to eight decimal places as needed.) (Type an integer or a decimal rounded to eight decimal places as needed.) (Type an integer or a decimal rounded to eight decimal places as needed.) (Type an integer or a decimal rounded to eight decimal places as needed.) (Type an integer or a decimal rounded to eight decimal places as needed.)

2. A study for adverse reactions assigned adults at random to one of two common pain relievers (ibuprofen and acetaminophen). It was found that out of 733 adults who were administered ibuprofen, 103 of them experienced an adverse reaction, and out of 732 adults who were administered acetaminophen, 85 of them experienced an adverse reaction. Let p1 denote the proportion of adults who experience an adverse reaction when taking ibuprofen and let p2 denote the proportion of adults who experience an adverse reaction when taking acetaminophen. Suppose we want to answer the following questions. i) Test, at the 3% level of significance, whether the proportion of adults who experience an adverse reaction when taking ibuprofen is greater than the proportion of adults who experience an adverse reaction when taking acetaminophen. ii) Calculate the 97% confidence interval for p1 - P2. The table below provides the information needed to perform the hypothesis test: Value x1 103.0000 85.0000 733.0000…