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 α=0.05.   Alone Roommates Parents/Guardians Observed Counts 398 488 714 Expected Counts 432 512 656

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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 α=0.05.

  Alone Roommates Parents/Guardians
Observed Counts 398 488 714
Expected Counts 432 512 656
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