A poll of 1834 U.S. adults found that 735 U.S. adults, or 40.076% 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 %

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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A poll of 1834 U.S. adults found that 735 U.S. adults, or 40.076% 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

  • increases
  • stays roughly the same
  • decreases

and the precision of our estimate

  • stays roughly the same
  • increases
  • decreases
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