SOLUTION: Is there a significant difference between first-and second-generation Asian populations? First-Generation Asian Americans (N = 2,684), 58% own a home Second-Generation Asia

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Question 1175577: Is there a significant difference between first-and second-generation Asian populations?

First-Generation Asian Americans (N = 2,684), 58% own a home
Second-Generation Asian Americans (N = 566), 51% own a home
Set alpha at 0.01
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
Ho=same proportion
Ha=different
alpha =0.01 p{reject Ho|Ho true}
test is a z, numerator is 0.07 from data
overall sample proportion is 1557/2684, 289/566 so it is 1846/3240=0.57
denominator is sqrt(0.57*0.43)(1/2684)+(1/566))
=0.0229
z=3.06, and the critical value is |z|>2.576, so reject Ho.
p-value=0.0022