A nationwide poll of 2,525 adults estimated with 95% confidence that the proportion of Americans who support health care reform is 0.78 +/- 0.0162. A member of Congress thinks that 95% confidence isn't enough. He wants to be 99% confident. How would the margin of error of a 99% confidence interval based on the same sample size compare with the 95% interval?

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
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A nationwide poll of 2,525 adults estimated with 95%
confidence that the proportion of Americans who support
health care reform is 0.78 +/- 0.0162. A member of Congress
thinks that 95% confidence isn't enough. He wants to be 99%
confident. How would the margin of error of a 99%
confidence interval based on the same sample size compare
with the 95% interval?
O It would be larger, because higher confidence results in a larger
margin of error.
O It would be the same, because the sample size is the same.
O Can't tell, because margin of error depends on the size of the
population.
O Can't tell, because margin of error varies from sample to sample.
O It would be smaller, because higher confidence results in a lower
margin of error.
Transcribed Image Text:A nationwide poll of 2,525 adults estimated with 95% confidence that the proportion of Americans who support health care reform is 0.78 +/- 0.0162. A member of Congress thinks that 95% confidence isn't enough. He wants to be 99% confident. How would the margin of error of a 99% confidence interval based on the same sample size compare with the 95% interval? O It would be larger, because higher confidence results in a larger margin of error. O It would be the same, because the sample size is the same. O Can't tell, because margin of error depends on the size of the population. O Can't tell, because margin of error varies from sample to sample. O It would be smaller, because higher confidence results in a lower margin of error.
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