One of the questions on a survey of 1,000 adults asked if today's children will be better off than their parents (Rasmussen Reports website, October 26, 2012). Representative data are shown in the DATAfile named ChildOutlook. A response of Yes indicates that the adult surveyed did think today's children will be better off than their parents. A response of No indicates that the adult surveyed did not think today's children will be better off than their parents. A response of Not sure was given by 23% of the adults surveyed. Click on the datafile logo to reference the data DATA file MindTap - Cengage Learning a. What is the point estimate of the proportion of the population of adults who do think that today's children will be better off than their parents? 0.241 b. At 95% confidence, what is the margin of error (to 4 decimals)? 0.0265 c what is the 95% confidence interval for the proportion of adults who do think that today's children will be better off than their parents to 3 decimals ? 0.214to 0.268 d, what is the 95% confidence interval for the proportion of adults who do not think that today's children will be better off than their parents(to 3 decimals)? to e. Which of the confidence intervals in parts (c) and (d) has the smaller margin of error? part (c)

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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Will today's children be better off than their parents?
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One of the questions on a survey of 1,000 adults asked if today's children will be better off than their parents (Rasmussen Reports website, October 26, 2012). Representative data are shown in the DATAfile named ChildOutlook. A
response of Yes indicates that the adult surveyed did think today's children will be better off than their parents. A response of No indicates that the adult surveyed did not think today's children will be better off than their parents. A
response of Not sure was given by 23% of the adults surveyed.
Click on the datafile logo to reference the data
DATA file
MindTap - Cengage Learning
a. What is the point estimate of the proportion of the population of adults who do think that today's children will be better off than their parents?
0.241
b. At 95% confidence, what is the margin of error (to 4 decimals)?
0.0265
c what is the 95% confidence interval for the proportion of adults who do think that today's children will be better off than their parents to 3 decimals ?
0.214to 0.268
d, what is the 95% confidence interval for the proportion of adults who do not think that today's children will be better off than their parents(to 3 decimals)?
to
e. Which of the confidence intervals in parts (c) and (d) has the smaller margin of error?
part (c)
Transcribed Image Text:One of the questions on a survey of 1,000 adults asked if today's children will be better off than their parents (Rasmussen Reports website, October 26, 2012). Representative data are shown in the DATAfile named ChildOutlook. A response of Yes indicates that the adult surveyed did think today's children will be better off than their parents. A response of No indicates that the adult surveyed did not think today's children will be better off than their parents. A response of Not sure was given by 23% of the adults surveyed. Click on the datafile logo to reference the data DATA file MindTap - Cengage Learning a. What is the point estimate of the proportion of the population of adults who do think that today's children will be better off than their parents? 0.241 b. At 95% confidence, what is the margin of error (to 4 decimals)? 0.0265 c what is the 95% confidence interval for the proportion of adults who do think that today's children will be better off than their parents to 3 decimals ? 0.214to 0.268 d, what is the 95% confidence interval for the proportion of adults who do not think that today's children will be better off than their parents(to 3 decimals)? to e. Which of the confidence intervals in parts (c) and (d) has the smaller margin of error? part (c)
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