MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Transcribed Image Text:### Educational Website Content
#### Understanding a Survey on Global Warming and Immediate Government Action
A research poll involved 1,762 randomly selected adults who were asked whether they believe "global warming is a problem that requires immediate government action." Out of those surveyed, 975 indicated that immediate government action is required. A news reporter is interested in determining if these survey results provide strong evidence that a majority (more than 50%) of people hold this belief. The following statistical analysis helps answer this question.
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**a. Best Estimate of Proportion**
**Question:**
What is the best estimate of the proportion of adults who believe that immediate government action is required?
**Answer:**
The best estimate is \(0.553\).
*(Note: This value is rounded to three decimal places as needed.)*
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**b. Confidence Interval**
**Task:**
Construct a 95% confidence interval estimate for the proportion of adults who believe that immediate government action is required.
**Solution:**
Determine the range in which the true proportion is likely to fall within, with 95% confidence.
*(Hints: Use integers or decimals rounded to three decimal places as needed.)*
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The analysis above helps in understanding public opinion about global warming and the need for government action. A 95% confidence interval gives a range in which the true proportion likely exists, reflecting uncertainty in the estimate.
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