In: Statistics and Probability
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, between 18% and 21% of the trees will have the parasite? . Include in your answer the proper check to confirm that you should be using the normal table to help answer this question.
(b) You sample 300 trees, and find that 78 trees have the parasite. Based on this, do you think that the population proportion of infected trees is 20% or is it likely higher than 20%? Provide some calculations to back up your answer.