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, 10% of the apples on a particular truck are bruised or otherwise unsatisfactory. (a) How many standard errors away from 0.1 would you need to go to contain 89% of the sample proportions of bad apples you might expect to ind? (3 decimal places) (b) Suppose you were going to construct an 89% condence interval from this population. What critical value should you use? (3 decimal places)