I've been having some trouble finding a direct answer to this question, so I thought I'd toss it in here! I have used PUMS data to calculate rates of poverty for children by race and ethnicity in Illinois. The results I got are here (margins of error with a 90% confidence level are in parentheses):

White: 13.6% (0.4%)

Black: 38.9% (1.2%)

Asian or Pacific Islander: 10.8% (1.2%)

My question is: To test if these differences are statistically significant, can I still use the Census Bureau's methods that they recommend for the ACS data on data.census.gov? Typically, I use the Bureau's statistical testing tool Excel spreadsheet and/or this formula:

If |(Est1 - Est2)/(SE1^2 + SE2^2)| > 1.645, then difference is statistically significant

If that is not the correct way to do it, do you know of any available resources for how to calculate statistical significance for weighted PUMS estimates? Thank you!