initiative is between (round to 3 decimal places) and (round to 3 decimal places). b. If many groups of 579 randomly selected Texans and 546 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
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 579
randomly selected Texans surveyed, 408 were in favor of
the initiative and of the 546 randomly selected New
Yorkers surveyed, 450 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 579 randomly selected Texans and 546
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 579 randomly selected Texans surveyed, 408 were in favor of the initiative and of the 546 randomly selected New Yorkers surveyed, 450 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 579 randomly selected Texans and 546 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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