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 508 randomly selected Texans surveyed, 419 were in favor of the initiative and of the 558 randomly selected New Yorkers surveyed, 451 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 508 randomly selected Texans and 558 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.

The figure to the right shows the results of a survey in which 1018 adults from Country​ A, 1025 adults from Country​ B, 1005 adults from Country​ C, 999 adults from Country​ D, and 999 adults from Country E were asked whether national identity is strongly tied to birthplace. Construct a 95​% confidence interval for the population proportion of adults who say national identity is strongly tied to birthplace for each country listed. The 95​% confidence interval for the proportion of adults from Country A who say national identity is strongly tied to birthplace is (____),(____) The 95​% confidence interval for the proportion of adults from Country B who say national identity is strongly tied to birthplace is (____),(____) The 95​% confidence interval for the proportion of adults from Country C who say national identity is strongly tied to birthplace is (____),(____) The 95​% confidence interval for the proportion of adults from Country D who say national identity is strongly tied to…

Baylor University is interested in what proportion of applicants would like to enter statistics department. Of a random sample of 100 applicants, 24 chose the department. Construct a 99% confidence interval for the true proportion of all applicants that prefer statistics.

In a recent poll, 410 people were asked if they liked dogs, and 44% said they did. Find the margin of error of this poll, at the 95% confidence level.