STA113 Fall 2003
I. H. Dinwoodie
Extra Credit

1. Write two matlab functions, one to take a row vector of binomial successes and compute
the Agresti-Coull confidence interval for each entry, and the other to compute the older simpler
interval. 

2. Simulate 10000 bin(20, .1) outcomes, and compute the 90% confidence interval on each with both methods.

3.  Compare the fraction of intervals that contain the true p=.1  for the two methods, 
and determine which method is better in the bin(20, .1) situation.