A poll of 2625 U.S. adults found that 1240 U.S. adults, or 47.238% regularly used Facebook as a news source. Find the margin of error and confidence interval for the percentage of U.S. adults who regularly use Facebook as a news source, at the 90% level of confidence. Express all answers as percentages rounded to 2 decimal places. Do not write the percent sign. Margin of Error (as a percentage): __  Confidence Interval:__ % to__ % Now find the margin of error and confidence interval for the percentage of U.S. adults who regularly use Facebook as a news source, at the 95% level of confidence. Margin of Error (as a percentage): __  Confidence Interval:__ % to__ % Finally, find the margin of error and confidence interval for the percentage of U.S. adults who regularly use Facebook as a news source, at the 99% level of confidence.  Margin of Error (as a percentage): __  Confidence Interval: __% to ___% The margin of error reflects the precision or accuracy of our estimate. Therefore, as the confidence level increases, the margin of error  stays roughly the same decreases increases and the precision of our estimate  decreases increases stays roughly the same   NOTE:  A wide confidence interval is not as precise as a narrow confidence interval.  Therefore a smaller margin of error gives a more precise interval estimate, while a larger margin of error gives a wider interval and is not as precise.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
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A poll of 2625 U.S. adults found that 1240 U.S. adults, or 47.238% regularly used Facebook as a news source.

Find the margin of error and confidence interval for the percentage of U.S. adults who regularly use Facebook as a news source, at the 90% level of confidence. Express all answers as percentages rounded to 2 decimal places. Do not write the percent sign.

Margin of Error (as a percentage): __ 
Confidence Interval:__ % to__ %

Now find the margin of error and confidence interval for the percentage of U.S. adults who regularly use Facebook as a news source, at the 95% level of confidence.

Margin of Error (as a percentage): __ 
Confidence Interval:__ % to__ %

Finally, find the margin of error and confidence interval for the percentage of U.S. adults who regularly use Facebook as a news source, at the 99% level of confidence. 

Margin of Error (as a percentage): __ 
Confidence Interval: __% to ___%

The margin of error reflects the precision or accuracy of our estimate. Therefore, as the confidence level increases, the margin of error 

  • stays roughly the same
  • decreases
  • increases

and the precision of our estimate 

  • decreases
  • increases
  • stays roughly the same

 

NOTE:  A wide confidence interval is not as precise as a narrow confidence interval.  Therefore a smaller margin of error gives a more precise interval estimate, while a larger margin of error gives a wider interval and is not as precise.

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