According to Reader's Digest, 30% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 400 primary care doctors was taken. Show the...

Extracted text: According to Reader's Digest, 30% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 400 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(F) 0.3 (to 2 decimals) 0.0235 (to 4 decimals) b. What is the probability that the sample proportion will be within +0.03 of the population proportion? Round your answer to four decimals. c. What is the probability that the sample proportion will be within ±0.05 of the population proportion? Round your answer to four decimals. d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why? The probabilities would decrease This is because the increase in the sample size makes the standard error, 0,, larger