Question

In: Statistics and Probability

According to Readers Digest, 42% or primary care doctors think their patients receive unnecessary medical care....

According to Readers Digest, 42% or primary care doctors think their patients receive unnecessary medical care.

a) Suppose a sample of 300 primary care doctors was taken. Show the sampling distribution of the proportion of doctors who think their patients receive unnecessary medical care.

b) What is the probability that the sample proportion will be within

+/- 0.03 of the population proportion?

c) What is the probability that the sample proportion will be within

+/- 0.05 of the population proportion?

d) What would the effect of taking a larger sample be on the probabilities in parts (b) and (c)? Why?

Solutions

Expert Solution

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(1.05, TRUE)" & "=NORM.S.DIST(-1.05, TRUE)" to find the probability.

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Refer Z-table to find the probability or use excel formula "=NORM.S.DIST(1.75, TRUE)" & "=NORM.S.DIST(-1.75, TRUE)" to find the probability.

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The probabilities would . This is because the increase in the sample size makes the standard error,


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