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A newsgroup is interested in constructing a 95% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 569 randomly selected Texans surveyed, 406 were in favor of the initiative and of the 558 randomly selected New Yorkers surveyed, 462 were in favor of the initiative. a. With 95% confidence the difference in the proportions of Texans and New Yorkers who favor a new Green initiative is between (round to 3 decimal places) and (round to 3 decimal places). b. If many groups of 569 randomly selected Texans and 558 randomly selected New Yorkers 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 the difference in the proportions of Texans and New Yorkers who favor a new Green initiative and about percent will not contain the true population difference in proportions.

A newsgroup is interested in constructing a 95% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 569 randomly selected Texans surveyed, 406 were in favor of the initiative and of the 558 randomly selected New Yorkers surveyed, 462 were in favor of the initiative. a. With 95% confidence the difference in the proportions of Texans and New Yorkers who favor a new Green initiative is between (round to 3 decimal places) and (round to 3 decimal places). b. If many groups of 569 randomly selected Texans and 558 randomly selected New Yorkers 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 the difference in the proportions of Texans and New Yorkers who favor a new Green initiative and about percent will not contain the true population difference in proportions.

Holt Mcdougal Larson Pre-algebra: Student Edition 2012
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
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A newsgroup is interested in constructing a 95% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 569 randomly selected Texans surveyed, 406 were in favor of the initiative and of the 558 randomly selected New Yorkers surveyed, 462 were in favor of the initiative. a. With 95% confidence the difference in the proportions of Texans and New Yorkers who favor a new Green initiative is between (round to 3 decimal places) and (round to 3 decimal places). b. If many groups of 569 randomly selected Texans and 558 randomly selected New Yorkers 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 the difference in the proportions of Texans and New Yorkers who favor a new Green initiative and about percent will not contain the true population difference in proportions.
Transcribed Image Text:A newsgroup is interested in constructing a 95% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 569 randomly selected Texans surveyed, 406 were in favor of the initiative and of the 558 randomly selected New Yorkers surveyed, 462 were in favor of the initiative. a. With 95% confidence the difference in the proportions of Texans and New Yorkers who favor a new Green initiative is between (round to 3 decimal places) and (round to 3 decimal places). b. If many groups of 569 randomly selected Texans and 558 randomly selected New Yorkers 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 the difference in the proportions of Texans and New Yorkers who favor a new Green initiative and about percent will not contain the true population difference in proportions.
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