Solution Found!
In a CNN/USA Today/Gallup Poll, 1000 Americans were asked
Chapter 8, Problem 64E(choose chapter or problem)
In a CNN/USA Today/Gallup Poll, 1000 Americans were asked how well the term patriotic described themselves.10 Some results from the poll are contained in the following summary table.
a If the 18–34 and 60+ age groups consisted of 340 and 150 individuals, respectively, find a 98% confidence interval for the difference in proportions of those in these age groups who agreed that patriotic described them very well.
b Based on the interval that you obtained in part (a), do you think that the difference in proportions of those who view themselves as patriotic is as large as 0.6? Explain.
Questions & Answers
QUESTION:
In a CNN/USA Today/Gallup Poll, 1000 Americans were asked how well the term patriotic described themselves.10 Some results from the poll are contained in the following summary table.
a If the 18–34 and 60+ age groups consisted of 340 and 150 individuals, respectively, find a 98% confidence interval for the difference in proportions of those in these age groups who agreed that patriotic described them very well.
b Based on the interval that you obtained in part (a), do you think that the difference in proportions of those who view themselves as patriotic is as large as 0.6? Explain.
ANSWER:
Step 1 of 5
(a)
We will use following:
Let and have binomial distribution with parameters and , respectively. Than confidence interval for difference is defined by: