In: Statistics and Probability
According to Reader's Digest, 43% of primary care doctors think their patients receive unnecessary medical care.
a. Suppose a sample of 370 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. Use z-table.
E(p) =
ơp = (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/increase). This is because the increase in the sample size makes the standard error, ơp , ____ (larger/smaller)