A new treatment for cancer was tested in a group of 100 canc

A new treatment for cancer was tested in a group of 100 cancer patients. Of the 100 patients, 50 were randomly assigned to receive the new treatment, and 50 were assigned to receive the existing treatment. Below is a table of the results:

Define p subscript 1 = the probability of being cancer free in 6 months after receiving the new drugp subscript 2 = the probability of being cancer free in 6 months after receiving the existing drugFind the standard error of stack p subscript 1 with tilde on top minus stack p subscript 2 with tilde on top .HINT: p with tilde on top equal presubscript 1 fraction numerator y subscript 1 plus 1 over denominator n subscript 1 plus 2 end fraction equal fraction numerator 30 plus 1 over denominator 50 plus 2 end fractionRound your answer to 4 decimal places

drug assignment	cancer free in 6 months	still has cancer after 6 months
new treatment	30	20
existing treatment	15	35

Solution

Outcome Drug Assignment Cancer free in 6 months Still has Cancer after 6 months New Treatment 30 20 1.Pr = 30/100=0.3 Existing Treatment 15 35 1.Pr = 35/100=0.35 45 55 100