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 802 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, 292 out of 1824 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	802	0.239401496259352
2000	292	1824	0.160087719298246
Standard Error: SE = 0.0164280286680058

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 $p$-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