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 528 randomly selected Texans surveyed, 432 were in favor of the initiative and of the 554 randomly selected New Yorkers surveyed, 455 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 528 randomly selected Texans and 554 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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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 528 randomly selected Texans surveyed, 432
were in favor of the initiative and of the 554 randomly selected New Yorkers surveyed, 455 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 528 randomly selected Texans and 554 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.
Ouestion Help: M Message instructor
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 528 randomly selected Texans surveyed, 432 were in favor of the initiative and of the 554 randomly selected New Yorkers surveyed, 455 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 528 randomly selected Texans and 554 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. Ouestion Help: M Message instructor
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