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An annual survey on crime reported that 27% of all households experienced some sort of crime during the past year. This estimate was based on a sample of 1,000 randomly selected households. The report states, "One can say with 95% confidence that the margin of sampling error is 23 percentage points." Explain how this statement can be justified. (Round your answers to three decimal places.) n USE SALT The margin of error for a 95% confidence interval with the given sample proportion of and the given sample size of is which is approximately 3 percentage points, as stated.

An annual survey on crime reported that 27% of all households experienced some sort of crime during the past year. This estimate was based on a sample of 1,000 randomly selected households. The report states, "One can say with 95% confidence that the margin of sampling error is 23 percentage points." Explain how this statement can be justified. (Round your answers to three decimal places.) n USE SALT The margin of error for a 95% confidence interval with the given sample proportion of and the given sample size of is which is approximately 3 percentage points, as stated.

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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An annual survey on crime reported that 27% of all households experienced some sort of crime during the past year. This estimate was based on a sample of 1,000 randomly selected households. The report states, "One can say with 95% confidence that the margin of sampling error is ±3 percentage points." Explain how this statement can be justified. (Round your answers to three decimal places.) n USE SALT The margin of error for a 95% confidence interval with the given sample proportion of and the given sample size of is which is approximately 3 percentage points, as stated.
Transcribed Image Text:An annual survey on crime reported that 27% of all households experienced some sort of crime during the past year. This estimate was based on a sample of 1,000 randomly selected households. The report states, "One can say with 95% confidence that the margin of sampling error is ±3 percentage points." Explain how this statement can be justified. (Round your answers to three decimal places.) n USE SALT The margin of error for a 95% confidence interval with the given sample proportion of and the given sample size of is which is approximately 3 percentage points, as stated.
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