6.5 Gender equality. The General Social Survey asked a random sample of 1,390 Americans the following question: “On the whole, do you think it should or should not be the government’s responsibility to promote equality between men and women?” 82% of the respondents said it “should be”. At a 95% confidence level, this sample has 2% margin of error. Based on this information, determine if the following statements are true or false, and explain your reasoning.8 (a) We
6.5 Gender equality. The General Social Survey asked a random sample of 1,390 Americans the following question: “On the whole, do you think it should or should not be the government’s responsibility to promote equality between men and women?” 82% of the respondents said it “should be”. At a 95% confidence level, this sample has 2% margin of error. Based on this information, determine if the following statements are true or false, and explain your reasoning.8 (a) We
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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6.5 Gender equality. The General Social Survey asked a random sample of 1,390 Americans the following
question: “On the whole, do you think it should or should not be the government’s responsibility to promote
equality between men and women?” 82% of the respondents said it “should be”. At a 95% confidence level,
this sample has 2% margin of error. Based on this information, determine if the following statements are
true or false, and explain your reasoning.8
(a) We are 95% confident that between 80% and 84% of Americans in this sample think it’s the government’s
responsibility to promote equality between men and women.
(b) We are 95% confident that between 80% and 84% of all Americans think it’s the government’s respon-
sibility to promote equality between men and women.
(c) If we considered many random samples of 1,390 Americans, and we calculated 95% confidence intervals
for each, 95% of these intervals would include the true population proportion of Americans who think
it’s the government’s responsibility to promote equality between men and women.
(d) In order to decrease the margin of error to 1%, we would need to quadruple (multiply by 4) the sample
size .
(e) Based on this confidence interval, there is sufficient evidence to conclude that a majority of Americans
think it’s the government’s responsibility to promote equality between men and women
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