A newsgroup is interested in constructing a 90% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 598 randomly selected Texans surveyed, 443 were in favor of the initiative and of the 572 randomly selected New Yorkers surveyed, 454 were in favor of the initiative

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A newsgroup is interested in constructing a 90% confidence interval for the difference in the proportions of Texans and New Yorkers who favor a new Green initiative. Of the 598 randomly selected Texans surveyed, 443 were in favor of the initiative and of the 572 randomly selected New Yorkers surveyed, 454 were in favor of the initiative.

a.  With 90% 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 598 randomly selected Texans and 572 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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