(a) A poll of 2,298 likely voters was conducted on the president’s performance. Approximately what margin of error would the approval rating estimate have if the confidence level is 95%? (Round your answer to 4 decimal places.)  Margin of error  _______            (b) The poll showed that 49 percent approved the president’s performance. Construct a 90 percent confidence interval for the true proportion. (Round your answers to 4 decimal places.)  The 90% confidence interval is from ______  to  _______   (c) Would you agree that the percentage of all voters opposed is likely to be 50 percent?   No, the confidence interval does not contain .50. Yes, the confidence interval contains .50.

College Algebra
1st Edition
ISBN:9781938168383
Author:Jay Abramson
Publisher:Jay Abramson
Chapter9: Sequences, Probability And Counting Theory
Section9.7: Probability
Problem 4SE: What is the difference between events and outcomes? Give an example of both using the sample space...
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(a) A poll of 2,298 likely voters was conducted on the president’s performance. Approximately what margin of error would the approval rating estimate have if the confidence level is 95%? (Round your answer to 4 decimal places.)
  
Margin of error  _______           
 
(b) The poll showed that 49 percent approved the president’s performance. Construct a 90 percent confidence interval for the true proportion. (Round your answers to 4 decimal places.)
  
The 90% confidence interval is from ______  to  _______  
 
(c) Would you agree that the percentage of all voters opposed is likely to be 50 percent?
  

  • No, the confidence interval does not contain .50.
  • Yes, the confidence interval contains .50.
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