DATAFile: ChildOutlook

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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. Representative data are shown in the file 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.

(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?

p =

(b)

At 95% confidence, what is the margin of error? (Round your answer to four decimal places.)

(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? (Round your answers to four decimal places.)

to

(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? (Round your answers to four decimal places.)

to

(e)

Which of the confidence intervals in parts (c) and (d) has the smaller margin of error? Why?

The confidence interval in part (d) has the smaller margin of error. This is because p is closer to 0.5.The confidence interval in part (c) has the smaller margin of error. This is because p is farther from 0.5. The confidence interval in part (d) has the smaller margin of error. This is because p is farther from 0.5.The confidence intervals in parts (c) and (d) have the same margin of error. This is because they came from the same sample.The confidence interval in part (c) has the smaller margin of error. This is because p is closer to 0.5.