In a 2010 survey, 83 out of 387 randomly selected young adults (ages 18–34) had to move back in with their parents after living alone. In a 2012 survey, 185 out of 818 young adults had to move back in with their parents. The table below summarizes this information. The standard error (SE) is given to save calculation time. | Year | Total # who moved back (\(x\)) | Total # in survey (\(n\)) | Proportion (\(\hat{p} = x/n\)) | |------|--------------------------------|--------------------------|-------------------------------| | 2012 | 185 | 818 | 0.226161369193154 | | 2010 | 83 | 387 | 0.214470284237726 | **Standard Error: SE = 0.025657334408066** Test the claim that a greater proportion of all young adults moved back in with their parents in 2012 than in 2010. Test this claim at the 0.05 significance level. (a) Find the test statistic. [ ] (b) Find the critical value. [ ] (c) Find the \(p\)-value. [ ]
In a 2010 survey, 83 out of 387 randomly selected young adults (ages 18–34) had to move back in with their parents after living alone. In a 2012 survey, 185 out of 818 young adults had to move back in with their parents. The table below summarizes this information. The standard error (SE) is given to save calculation time. | Year | Total # who moved back (\(x\)) | Total # in survey (\(n\)) | Proportion (\(\hat{p} = x/n\)) | |------|--------------------------------|--------------------------|-------------------------------| | 2012 | 185 | 818 | 0.226161369193154 | | 2010 | 83 | 387 | 0.214470284237726 | **Standard Error: SE = 0.025657334408066** Test the claim that a greater proportion of all young adults moved back in with their parents in 2012 than in 2010. Test this claim at the 0.05 significance level. (a) Find the test statistic. [ ] (b) Find the critical value. [ ] (c) Find the \(p\)-value. [ ]
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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![In a 2010 survey, 83 out of 387 randomly selected young adults (ages 18–34) had to move back in with their parents after living alone. In a 2012 survey, 185 out of 818 young adults had to move back in with their parents. The table below summarizes this information. The standard error (SE) is given to save calculation time.
| Year | Total # who moved back (\(x\)) | Total # in survey (\(n\)) | Proportion (\(\hat{p} = x/n\)) |
|------|--------------------------------|--------------------------|-------------------------------|
| 2012 | 185 | 818 | 0.226161369193154 |
| 2010 | 83 | 387 | 0.214470284237726 |
**Standard Error: SE = 0.025657334408066**
Test the claim that a greater proportion of all young adults moved back in with their parents in 2012 than in 2010. Test this claim at the 0.05 significance level.
(a) Find the test statistic.
[ ]
(b) Find the critical value.
[ ]
(c) Find the \(p\)-value.
[ ]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F390c3f66-7ceb-4b1f-8909-726fc2269b52%2F7bf3b30f-0ff9-4601-a057-b44ba8ff76f2%2Fslnkvmj_processed.jpeg&w=3840&q=75)
Transcribed Image Text:In a 2010 survey, 83 out of 387 randomly selected young adults (ages 18–34) had to move back in with their parents after living alone. In a 2012 survey, 185 out of 818 young adults had to move back in with their parents. The table below summarizes this information. The standard error (SE) is given to save calculation time.
| Year | Total # who moved back (\(x\)) | Total # in survey (\(n\)) | Proportion (\(\hat{p} = x/n\)) |
|------|--------------------------------|--------------------------|-------------------------------|
| 2012 | 185 | 818 | 0.226161369193154 |
| 2010 | 83 | 387 | 0.214470284237726 |
**Standard Error: SE = 0.025657334408066**
Test the claim that a greater proportion of all young adults moved back in with their parents in 2012 than in 2010. Test this claim at the 0.05 significance level.
(a) Find the test statistic.
[ ]
(b) Find the critical value.
[ ]
(c) Find the \(p\)-value.
[ ]
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