A newsgroup is interested in constructing a 99% confidence interval for the difference in the proportions Texans and New Yorkers who favor a new Green initiative. Of the 599 randomly selected Texans surveyed were in favor of the initiative and of the 545 randomly selected New Yorkers surveyed, 474 were in favor the initiative. a. With 99% confidence the difference in the proportions of Texans and New Yorkers who favor a new Gr initiative is between (round to 3 decimal places) and (round to 3 decimal places). b. If many groups of 599 randomly selected Texans and 545 randomly selected New Yorkers were surveye 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 Te and New Yorkers who favor a new Green initiative and about percent will not contain the true population diff.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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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 599 randomly selected Texans surveyed, 370
were in favor of the initiative and of the 545 randomly selected New Yorkers surveyed, 474 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 599 randomly selected Texans and 545 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 599 randomly selected Texans surveyed, 370 were in favor of the initiative and of the 545 randomly selected New Yorkers surveyed, 474 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 599 randomly selected Texans and 545 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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