0     1     2     3     4     5
Normal Lower 0.000 0.000 0.000 0.016 0.096 0.190
Normal Upper 0.000 0.286 0.448 0.584 0.704 0.810
Exact Lower  0.000 0.003 0.025 0.067 0.122 0.187
Exact Upper  0.308 0.445 0.556 0.652 0.738 0.813

 Binomial Confidence Interval for cancer death  

	Exact binomial test

data:  sum(prostate$alive) and length(prostate$alive)
number of successes = 150, number of trials = 506, p-value <
2.2e-16
alternative hypothesis: true probability of success is not equal to 0.5
95 percent confidence interval:
 0.2569521 0.3383307
sample estimates:
probability of success 
             0.2964427 

[1] 0.2569521 0.3400928