A newsgroup is interested in constructing a 90% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 519 randomly selected Texans surveyed, 373 were in favor of the initiative and of the 559 randomly selected New Yorkers surveyed, 464 were in favor of the initiative. a. With 90% 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 519 randomly selected Texans and 559 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

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
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A newsgroup is interested in constructing a 90%
confidence interval for the difference in the
proportions of Texans and New Yorkers who favor a
new Green initiative. Of the 519 randomly selected
Texans surveyed, 373 were in favor of the initiative
and of the 559 randomly selected New Yorkers
surveyed, 464 were in favor of the initiative.
a. With 90% 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 519 randomly selected Texans
and 559 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 90% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 519 randomly selected Texans surveyed, 373 were in favor of the initiative and of the 559 randomly selected New Yorkers surveyed, 464 were in favor of the initiative. a. With 90% 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 519 randomly selected Texans and 559 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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