I have the answer to the question; however, don't know how to figure it out.

Outcome measured Housed (0= not housed, 1= housed)

Coefficient standard error

Constant. +1.3 .01

Treatment +0.2 .01

Being in the treatment group increased the probability of being housed by 3.2 percentage points. (.818-.786)

TRT= 1 P(Y=1) = 1/1+ e-k (the answer is 0.818; however, I'm not clear on the math for this calculation)

TRT=0. p(Y=1) = 1/1+ e-k (the answer is .786; however, I'm not clear on the math for this calculation)

TRT 1 = k = 1.3+0.2(1) = 1.5

TRT 0 = k = 1.3

I don't know the calculation for 1/1+ e-k. How should this be interpreted--what is e-k? How did they come up with .818? What is 1/1+ e-k (1.5)