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 593 randomly selected Texans surveyed 362 were in favor of the initiative and of the 539 randomly selected New Yorkers surveyed 452 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 593 randomly selected Texans and 539 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