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, 198 out of 801 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, 284 out of 1811 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 (xx) total # in survey (nn) proportion p^=x/np^=x/n 2012 198 801 0.247191011235955 2000 284 1811 0.156819436775262 Standard Error: SE = 0.0164608118673214 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. (b) Find the critical value. (c) Find the pp-value.
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, 198 out of 801 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, 284 out of 1811 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 (xx) | total # in survey (nn) | proportion p^=x/np^=x/n |
| 2012 | 198 | 801 | 0.247191011235955 |
| 2000 | 284 | 1811 | 0.156819436775262 |
| Standard Error: SE = 0.0164608118673214 |
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.
(b) Find the critical value.
(c) Find the pp-value.
(d) Is there sufficient data to support the claim?
Yes
No
Can you support the claim at the 0.01 significance level?
(e) Find the critical value.
(f) Is there sufficient data to support the claim?
Yes
No
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