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:

Outcome

Drug Assignment

Cancer free in 6 months

Still has Cancer after 6 months

New Treatment

30

20

Existing Treatment

15

35

Estimate Pr{Cancer Free in 6 months | New treatment}

	Outcome
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 Pr = 20/55 =0.36 Existing Treatment 15 35 45 55