Suppose that 20% of the trees in a forest are infested with a certain type of parasite.
(a) What is the probability that, in a random sample of 300 trees, the number of trees having the parasite will be between 49 and 71 inclusive?
(b) After sampling 300 trees, suppose that 72 trees are found to have the parasite. Does this provide strong evidence that the population proportion is higher than 20%? Base your answer on P[X > 72] when 20% are infested.