To use the large-sample confidence interval for *, you need at least 15 outcomes of each type. Show that the smallest value of n for which the method can be used is

(a) 30 when 0.30,

(c) 150 when overall n must increase as 0.50,

(b) 50 when 0.10. That is, the moves toward 0 or 1. (When the true proportion is near 0 or 1, the sam- pling distribution can be highly skewed unless n is quite large.)