In: Statistics and Probability
When a truckload of apples arrives at a packing plant, a random sample of 200 apples are selected and examined for bruises and other defects. In reality, 11% of the apples on a particular truck are bruised or otherwise unsatisfactory.
(a) How many standard errors away from 0.11 would you need to go to contain 89% of the sample proportions of bad apples you might expect to find? (3 decimal places)