A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 510 randomly selected Americans surveyed, 400 were in favor of the initiative.a. Use 3 decimal places to complete the following statement:With 95% confidence the proportion of all Americans who favor the new Green initiative is between and .b. If many groups of 510 randomly selected Americans 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 Americans who favor the Green initiative and about percent will not contain the true population proportion. A newsgroup is interested in constructing a 95% confidence interval for the proportion of allAmericans who are in favor of a new Green initiative. Of the 510 randomly selected Americanssurveyed, 400 were in favor of the initiative.a. Use 3 decimal places to complete the following statement:With 95% confidence the proportion of all Americans who favor the new Green initiative is betweenandb. If many groups of 510 randomly selected Americans were surveyed, then a differentconfidence interval would be produced from each group. About.percent of theseconfidence intervals will contain the true population proportion of Americans who favor theGreen initiative and aboutpercent will not contain the true population proportion.

Confidence interval = 95% X =400 n = 510 Z-critical -value = 1.96

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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A newsgroup is interested in constructing a 95% confidence interval for the proportion of all Americans who are in favor of a new Green initiative. Of the 510 randomly selected Americans surveyed, 400 were in favor of the initiative.

a. Use 3 decimal places to complete the following statement:

With 95% confidence the proportion of all Americans who favor the new Green initiative is between and .

b. If many groups of 510 randomly selected Americans 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 Americans who favor the Green initiative and about percent will not contain the true population proportion.