USA Today (February 16, 2012) reported that the percentage of U.S. residents living in poverty was 12.5% for men and 15.1% for women. These percentages were estimates based on data from large representative samples of men and women. For purposes of this exercise, suppose that the sample sizes were 1200 for the sample of men and 1000 for the sample of women. Use the survey data to compute a 90% confidence interval for the difference in the proportion living in poverty for men and women. (Use p Round your answers to men - Pwomen' three decimal places.) ( Interpret the interval. There is a 90% chance that the true mean proportion living in poverty for men is directly in the middle of these two values. We are 90% confident that the true mean proportion living in poverty for women is between these two values. We are 90% confident that the true difference in the proportions living in poverty for men and women is between these two values. We are 90% confident that the true mean proportion living in poverty for men is between these two values. O There is a 90% chance that the true difference in the proportions living in poverty for men and women is directly in the middle of these two values.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 1GP
icon
Related questions
Question

11.3.3

USA Today (February 16, 2012) reported that the percentage of U.S. residents living in poverty was 12.5% for men and 15.1% for women. These percentages were estimates based on
data from large representative samples of men and women. For purposes of this exercise, suppose that the sample sizes were 1200 for the sample of men and 1000 for the sample of
women. Use the survey data to compute a 90% confidence interval for the difference in the proportion living in poverty for men and women. (Use p
Round your answers to
men
- Pwomen'
three decimal places.)
(
Interpret the interval.
There is a 90% chance that the true mean proportion living in poverty for men is directly in the middle of these two values.
We are 90% confident that the true mean proportion living in poverty for women is between these two values.
We are 90% confident that the true difference in the proportions living in poverty for men and women is between these two values.
We are 90% confident that the true mean proportion living in poverty for men is between these two values.
O There is a 90% chance that the true difference in the proportions living in poverty for men and women is directly in the middle of these two values.
Transcribed Image Text:USA Today (February 16, 2012) reported that the percentage of U.S. residents living in poverty was 12.5% for men and 15.1% for women. These percentages were estimates based on data from large representative samples of men and women. For purposes of this exercise, suppose that the sample sizes were 1200 for the sample of men and 1000 for the sample of women. Use the survey data to compute a 90% confidence interval for the difference in the proportion living in poverty for men and women. (Use p Round your answers to men - Pwomen' three decimal places.) ( Interpret the interval. There is a 90% chance that the true mean proportion living in poverty for men is directly in the middle of these two values. We are 90% confident that the true mean proportion living in poverty for women is between these two values. We are 90% confident that the true difference in the proportions living in poverty for men and women is between these two values. We are 90% confident that the true mean proportion living in poverty for men is between these two values. O There is a 90% chance that the true difference in the proportions living in poverty for men and women is directly in the middle of these two values.
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra (MindTap Course List)
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning