In a large clinical​ trial, 397,970 children were randomly assigned to two groups. The treatment group consisted of 197,753 children given a vaccine for a certain​ disease, and 30 of those children developed the disease. The other 200,217 children were given a placebo, and 114 of those children developed the disease. Consider the vaccine treatment group to be the first sample. Identify the values of n1​,p1​,q1​,n2​,p2​,q2​,p​, and q.

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A: Solution

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A: Given : n1 = 197178  X1 = 37 p^1 = X1n1 p^1 = 37197178 p^1 = 0.000188 q^1= 1-p^1  q^1= 1-0.000188…

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A: From the given information, n1=195,135 and x1=30.

2-Proportion Test

In a 2-proportion test, two separate proportions are measured at the same time, and their similarity is evaluated. It is also known as a 2-proportion z-test, and a comparison of two different proportions is done in this method.