### Constructing a 95% Confidence Interval for the Difference in ProportionsA 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. The surveyed sample includes:- **Texans:** Among 569 randomly selected individuals, 406 were in favor of the initiative.- **New Yorkers:** Among 558 randomly selected individuals, 462 were in favor of the initiative.#### a. Confidence Interval for Difference in ProportionsWith 95% confidence, the difference in the proportions of Texans and New Yorkers who favor the new Green initiative is estimated to be between:- **[ ]** (round to 3 decimal places)- **[ ]** (round to 3 decimal places)#### b. Interpretation of Confidence IntervalsIf many groups of 569 randomly selected Texans and 558 randomly selected New Yorkers were surveyed, then each group would produce a different confidence interval. The interpretation is as follows:- Approximately **[ ]** percent of these confidence intervals will contain the true population proportion of the difference in the proportions of Texans and New Yorkers who favor the new Green initiative.- Approximately **[ ]** percent of these confidence intervals will *not* contain the true population difference in proportions.

Answered: Image /qna-images/answer/0c22ae17-d111-4c18-bd3c-c272a23b8173.jpg

Answered: A newsgroup is interested in…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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