According to Reader's Digest, 30% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 400 primary care doctors was taken. Show the sampling distribution of the proportion of the doctors who think their patients receive unnecessary medical care. E(F) (to 2 decimals) %3D (to 4 decimals) %3D 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, o, Select your answer

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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According to Reader's Digest, 30% of primary care doctors think
their patients receive unnecessary medical care. Use the z-table.
a. Suppose a sample of 400 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)
%3D
(to 4 decimals)
%3D
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, o,
- Select your answer- v
0- Icon Key
Transcribed Image Text:According to Reader's Digest, 30% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 400 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) %3D (to 4 decimals) %3D 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, o, - Select your answer- v 0- Icon Key
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