According to Reader's Digest,  44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(p)=  (to 2 decimals)    (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.

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According to Reader's Digest,  44% of primary care doctors think their patients receive unnecessary medical care. Use the z-table.

a. Suppose a sample of 260 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care.

E(p)=  (to 2 decimals)

   (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 - Select your answer -increasedecreaseItem 5 . This is because the increase in the sample size makes the standard error, , 

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