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. Aresponse 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. Aresponse of Not sure was given by 23% of the adults surveyed.Click on the datafile logo to reference the dataDATA fileMindTap - Cengage Learninga. 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?0.241b. At 95% confidence, what is the margin of error (to 4 decimals)?0.0265c 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 0.268d, 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)?toe. Which of the confidence intervals in parts (c) and (d) has the smaller margin of error?part (c)

Question
Asked Apr 17, 2019
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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)
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Image Transcriptionclose

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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Expert Answer

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Step 1

Hello there! I see that there are more than 3 sub parts in the question. According to our polocies can answer only three sub parts. So kindly find the attached solution for a, c, d (which went wrong in file shared). Kindly make a new request if you need help in other parts of the question.

From the data file for question is todays children be better off than parents 

Total sample size = 1000

Total number of adults said yes ( who think today's children will be better off than their parents) = 240

Total number of adults who said no ( who think today's children will not be better half than their parents)  = 530

Total number of adults who said notsure = 230

Step 2

The proportion of adults who said yes = 240/1000 = 0.24

The point estimate of proportion of population of adults who think today children will be better off than their parents will be nothing but the sample proportion = 0.24.

The formula for confidence interval is shown below 

we know p = 0.24 the proportion of adults said yes. n = 1000

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Step 3

The Z score for 95% confidence interval can be found with reference to Z table shown below

α = 1 - 0.95 = 0.05

1 - α/2 = 1 - 0.0...

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