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4. The Department of the Treasury is interested in finding out what proportion of people support abolishing the penny. Previous research estimated it to be 15%. How large a sample should be surveyed in order to obtain the result with a 2% margin of error and 95% confidence?

4. The Department of the Treasury is interested in finding out what proportion of people support abolishing the penny. Previous research estimated it to be 15%. How large a sample should be surveyed in order to obtain the result with a 2% margin of error and 95% confidence?

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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4. The Department of the Treasury is interested in finding out what proportion of people support abolishing the penny. Previous research estimated it to be 15%. How large a sample should be surveyed in order to obtain the result with a 2% margin of error and 95% confidence? 5. A researcher is interested in constructing a confidence interval for the number of hours per week a typical person watches TV. Initial results indicate that the standard deviation is s = 7.5 hours. a) How large a sample is required to obtain a 95% confidence interval with a margin of error of 2 hours? b) How large a sample is required to obtain a 95% confidence interval with a margin of error of 1 hour? c) How large a sample is required to obtain a 99% confidence interval with a margin of error of 1 hour? d) Notice that to get smaller error and/or higher confidence, you need a larger sample. This result is an example of which important Law?
Transcribed Image Text:4. The Department of the Treasury is interested in finding out what proportion of people support abolishing the penny. Previous research estimated it to be 15%. How large a sample should be surveyed in order to obtain the result with a 2% margin of error and 95% confidence? 5. A researcher is interested in constructing a confidence interval for the number of hours per week a typical person watches TV. Initial results indicate that the standard deviation is s = 7.5 hours. a) How large a sample is required to obtain a 95% confidence interval with a margin of error of 2 hours? b) How large a sample is required to obtain a 95% confidence interval with a margin of error of 1 hour? c) How large a sample is required to obtain a 99% confidence interval with a margin of error of 1 hour? d) Notice that to get smaller error and/or higher confidence, you need a larger sample. This result is an example of which important Law?
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