A cohort of men diagnosed with prostate cancer were randomly assigned to either undergo surgery or not. Among the 345 men who had surgery (group 1), 16 eventually died of prostate cancer, compared with 30 of the 346 men (group 2) who did not have surgery. The researchers want to determine whether surgery increases the chance of survival. What are the sample proportion differences __, margin of error __ and 95% confidence interval (large sample) __ for the difference between men's survival without and with surgery? Your final conclusion is __ (Rounding to 3^rddecimal place).