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 594 randomly selected Texans and 542 randomly selected New Yorkers were surveyed, then a different confidence interval would be produced from each group. About 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 percent of 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 594 randomly selected Texans surveyed,
411 were in favor of the initiative and of the 542 randomly selected New Yorkers surveyed, 464 were in
favor of the initiative.
a. With 95% confidence the difference in the proportions of Texans and New Yorkers who favor a new
(round to 3 decimal
Green initiative is between
(round to 3 decimal places) and
places).
b. If many groups of 594 randomly selected Texans and 542 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 594 randomly selected Texans surveyed, 411 were in favor of the initiative and of the 542 randomly selected New Yorkers surveyed, 464 were in favor of the initiative. a. With 95% confidence the difference in the proportions of Texans and New Yorkers who favor a new (round to 3 decimal Green initiative is between (round to 3 decimal places) and places). b. If many groups of 594 randomly selected Texans and 542 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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