The permanent residence of adults aged 18-25 in the U.S. was examined in a survey from the year 2000. The survey revealed that 27% of these adults lived alone, 32% lived with a roommate(s), and 41% lived with their parents/guardians. In 2008, during an economic recession in the country, another such survey of 1600 people revealed that 398 lived alone, 488 lived with a roommate(s), and 714 lived with their parents.

Is there a significant difference in where young adults lived in 2000 versus 2008 and state the p-value? Test with a Goodness of Fit test at =0.05.

AloneRoommatesParents/GuardiansObserved Counts398488714Expected Counts432512656

Question 6 options:

yes, the p-value = 0.023021

No, the p-value = 0.011511

Yes, the p-value = 0.011511

Yes, the p-value = 0.023021