alarge dlinical triel390,830 children wene randomly assigned to two groups. The

Question

alarge dlinical triel390,830 children wene randomly assigned to two groups. The treatmant group consisted of 196,302 children given a vaccine for a certain disnase, and 25 of hoe childn developed the dienase The other 104 52id Type an integer or a decimal rounded to eight decimal places as needed) (Type an??crade mal rounded to eight domai places ss 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 deaimal places as needed ) Type an integer or a decimal rounded to eight decimal places as needed)

Explanation / Answer

Considering vaccine treatment to be first sample and Placebo treatment to be second sample

we get n1 = 196302 and n2 = 194528 and total n = n1+n2 = 390830

p1 = (number of student who developed disease with vaccine)/n1 = 25/196302 = 0.00012735

q1= 1 - p1= 1 - 0.00012735 = 0.99987265

And

p2 = (number of student who developed disease with placebo)/n1 = 94/194528= 0.00048322

q2= 1 - p2= 1 - 0.00048322 = 0.99951678

And

p = (number of student who developed disease using vaccine and placebo)/(n1+n2) = (25+94)/(196302+194528) = 0.00030448

q= 1 - p= 1 - 0.00030448 = 0.99969552

So, final answers are

n1 = 196302

p1 = 0.00012735

q1 = 0.99987265

n2= 194528

p2 = 0.00048322

q2 = 0.99951678

p = 0.00030448

q = 0.99969552

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