There has been debate among doctors over whether surgery can prolong life among men suffering from prostrate cancer, a type of cancer that typically develops and spreads very slowly. In the summer of 2003, The New England Journal of Medicine published results of some Scandinavian research. Men diagnosed with prostrate cancer were randomly assigned to either undergo surgery or not. Among the 347 men who had surgery, 16 eventually died of prostrate cancer, compared with 31 of the 348 men who did not have surgery.
What is the standard error of the difference in the two proportions?
a. 0.0189
b. 0.00036
c. 0.0113
d. 0.037
e. 0.08908