A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 597 randomly selected Americans surveyed, 440 were in favor of the initiative. Round answers to 4 decimal places where possible. a.  With 95% confidence the proportion of all Americans who favor the new Green initiative is between  and . b.  If many groups of 597 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About  percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about  percent will not contain the true population proportion.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
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ISBN:9780547587776
Author:HOLT MCDOUGAL
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Chapter11: Data Analysis And Probability
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A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 597 randomly selected Americans surveyed, 440 were in favor of the initiative. Round answers to 4 decimal places where possible.

a.  With 95% confidence the proportion of all Americans who favor the new Green initiative is between  and .

b.  If many groups of 597 randomly selected Americans were surveyed, then a different confidence interval would be produced from each group. About  percent of these confidence intervals will contain the true population proportion of Americans who favor the Green initiative and about  percent will not contain the true population proportion.
 

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