According to Reader's Digest, 42 percent of primary care doctors think their patients receive unnecessary medical care. (3) Suppose a sample of 300 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. I I I I I I I I I I I I I 0.36 0.39 0.42 0.45 0.48 0.06 0.03 0 0.03 0.06 0.03 0 0.03 0.06 0.09 'UI 'UI I I I 1.58 0.58 0.42 1.42 2.42 'ul (D (b) What is the probability that the sample proportion will be within t0.03 of the population proportion? (Round your answer to four decimal places.) (c) What is the probability that the sample proportion will be within 10.05 of the population proportion? (Round your answer to four decimal places.) (d) What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why