Confidence interval for true proportion and its assumptions.
Biting an un-popped kernel of popcorn hurts! As an experiment, a self-confessed connoisseur of Cheap popcorn carefully counted 773 kernels and put them in a popper. After popping, the un-popped kernels were counted. There were 86.
(a) Build a 90 percent confidence interval for the proportion of all kernels that would not pop.
(b) Make sure the normality assumption.
(c) Try the Very QuickRule. Does it work well here? Why, or why not?
(d) Why may this sample not be typical?