MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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According to Reader's Digest, 45% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 360 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) = 0.45 (to 2 decimals) (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 increase This is because the increase in the sample size makes the standard error, o,, larger
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Transcribed Image Text:According to Reader's Digest, 45% of primary care doctors think their patients receive unnecessary medical care. Use the z-table. a. Suppose a sample of 360 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) = 0.45 (to 2 decimals) (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 increase This is because the increase in the sample size makes the standard error, o,, larger
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