According to Reader's Digest, 42% of primary care doctors think their patients receive unnecessary medical care. a.

Question:

According to Reader's Digest, 42% of primary care doctors think their patients receive unnecessary medical care.
a. Suppose a sample of 300 primary care doctors was taken. Show the sampling of the proportion of the doctors who think their patients receive unnecessary medical care.
b. What is the probability that the sample proportion will be within 6.03 of the population proportion?
c. What is the probability that the sample proportion will be within 6.05 of the population proportion?
d. What would be the effect of taking a larger sample on the probabilities in parts (b) and (c)? Why?
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