A newsgroup is interested in constructing a 99% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 600 randomly selected Texans surveyed, 407 were in favor of the initiative and of the 538 randomly selected New Yorkers surveyed, 467 were in favor of the initiative. a. With 99% 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 600 randomly selected Texans and 538 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
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A newsgroup is interested in constructing a 99% confidence interval for the difference in the proportions of
Texans and New Yorkers who favor a new Green initiative. Of the 600 randomly selected Texans surveyed,
407 were in favor of the initiative and of the 538 randomly selected New Yorkers surveyed, 467 were in
favor of the initiative.
a. With 99% 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 600 randomly selected Texans and 538 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 99% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 600 randomly selected Texans surveyed, 407 were in favor of the initiative and of the 538 randomly selected New Yorkers surveyed, 467 were in favor of the initiative. a. With 99% 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 600 randomly selected Texans and 538 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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