The term 'Boomerang Generation' refers to the recent generation of young adults who have had to move back in with their parents. In a 2012 survey, 192 out of 803 randomly selected young adults (ages 18–34) had to move back in with their parents after living alone. In a similar survey from the year 2000, 282 out of 1806 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 | 192 | 803 | 0.239103362391034 | | 2000 | 282 | 1806 | 0.156146179401993 | **Standard Error: SE = 0.0163543928341931** Test the claim that a greater proportion of all young adults moved back in with their parents in 2012 than in 2000. Test this claim at the 0.05 significance level. (a) Find the test statistic. [Box for input] (b) Find the critical value. [Box for input] (c) Find the *p*-value. [Box for input] (d) Is there sufficient data to support the claim? - [ ] Yes - [x] No Can you support the claim at the 0.01 significance level? (e) Find the critical value. [Box for input]

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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Chapter1: Starting With Matlab
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The term 'Boomerang Generation' refers to the recent generation of young adults who have had to move back in with their parents. In a 2012 survey, 192 out of 803 randomly selected young adults (ages 18–34) had to move back in with their parents after living alone. In a similar survey from the year 2000, 282 out of 1806 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 | 192                           | 803                      | 0.239103362391034             |
| 2000 | 282                           | 1806                     | 0.156146179401993             |

**Standard Error: SE = 0.0163543928341931**

Test the claim that a greater proportion of all young adults moved back in with their parents in 2012 than in 2000. Test this claim at the 0.05 significance level.

(a) Find the test statistic.  
[Box for input]

(b) Find the critical value.  
[Box for input]

(c) Find the *p*-value.  
[Box for input]

(d) Is there sufficient data to support the claim?  
- [ ] Yes  
- [x] No

Can you support the claim at the 0.01 significance level?

(e) Find the critical value.  
[Box for input]
Transcribed Image Text:The term 'Boomerang Generation' refers to the recent generation of young adults who have had to move back in with their parents. In a 2012 survey, 192 out of 803 randomly selected young adults (ages 18–34) had to move back in with their parents after living alone. In a similar survey from the year 2000, 282 out of 1806 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 | 192 | 803 | 0.239103362391034 | | 2000 | 282 | 1806 | 0.156146179401993 | **Standard Error: SE = 0.0163543928341931** Test the claim that a greater proportion of all young adults moved back in with their parents in 2012 than in 2000. Test this claim at the 0.05 significance level. (a) Find the test statistic. [Box for input] (b) Find the critical value. [Box for input] (c) Find the *p*-value. [Box for input] (d) Is there sufficient data to support the claim? - [ ] Yes - [x] No Can you support the claim at the 0.01 significance level? (e) Find the critical value. [Box for input]
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