A researcher surveys 616 randomly selected Americans and asks them: "Do you believe that Climate change is a more serious threat to the world than international terrorism?"  Then 587 people answered "Yes" to this question.    Construct a 95% confidence interval to estimate the proportion of all Americans who feel that Climate change is a more serious threat to the world than international terrorism. Give the lower bound (the left hand side of the confidence interval) only (2 dp). Give the upper bound (the right hand side of the confidence interval) only (2 dp). Based on your confidence interval, would you believe that the true proportion could be 70%?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
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A researcher surveys 616 randomly selected Americans and asks them: "Do you believe that Climate change is a more serious threat to the world than international terrorism?"  Then 587 people answered "Yes" to this question.   

Construct a 95% confidence interval to estimate the proportion of all Americans who feel that Climate change is a more serious threat to the world than international terrorism.

  1. Give the lower bound (the left hand side of the confidence interval) only (2 dp).
  2. Give the upper bound (the right hand side of the confidence interval) only (2 dp).
  3. Based on your confidence interval, would you believe that the true proportion could be 70%?
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