* do-file for Supplementary Exercises 8.84 and 8.85 of IPS7e
version 18 /* works also with versions 13-17 */

* 8.84: confidence intervals
* classical (z) CI
cii proportions 100 68, wald
* plus four CI, manually constructed
cii proportions 104 70, wald
* extra: wilson method similar to "plus four"
cii proportions 100 68, wilson
* extra: agresti-coull method similar to "plus four"
cii proportions 100 68, agresti
* "exact" CI based on the binomial distribution
cii proportions 100 68

* 8.85: tests
* test and 95% CI based on normal approximation
prtesti 100 68 0.75, count
* exact test based on the binomial distribution - preferable!
bitesti 100 68 0.75