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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) = 0.3 (to 2 decimals) 0.0235 (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 This is because the increase in the sample size makes the standard error, o5, larger

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) = 0.3 (to 2 decimals) 0.0235 (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 This is because the increase in the sample size makes the standard error, o5, larger

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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(F) 0.3 (to 2 decimals) 0.0235 (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 This is because the increase in the sample size makes the standard error, 0,, larger
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(F) 0.3 (to 2 decimals) 0.0235 (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 This is because the increase in the sample size makes the standard error, 0,, larger
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