According toReader's Digest,36%of primary care doctors think their patients receive unnecessary medical care. Usez-table.

a.Suppose a sample of 320primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care.

E(p)bar:

sigma p bar: (to 4 decimals)

b.What is the probability that the sample proportion will be within+/- .03of the population proportion. Round your answer to four decimals.

c.What is the probability that the sample proportion will be within +/- .05of 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 -

increase

decrease

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

larger

smaller

.

.