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)
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)
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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Contingency Table
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Binomial Distribution
Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.
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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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