According to Reader's Digest, 43% of primary care doctors think their patients receive unnecessary medical care. a. Suppose a sample of 310 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessar medical care. Use z-table. E(p) (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 - v. This is because the increase in the sample size makes the standard error, op, Select your answer - v

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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According to Reader's Digest, 43% of primary care doctors think their patients receive
unnecessary medical care.
a. Suppose a sample of 310 primary care doctors was taken. Show the sampling
distribution of the proportion of the doctors who think their patients receive unnecessar
medical care. Use z-table.
E(p)
%3D
(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 - v. This is because the increase in the
sample size makes the standard error, op,
Select your answer - v
Transcribed Image Text:According to Reader's Digest, 43% of primary care doctors think their patients receive unnecessary medical care. a. Suppose a sample of 310 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessar medical care. Use z-table. E(p) %3D (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 - v. This is because the increase in the sample size makes the standard error, op, Select your answer - v
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