I am reseraching Norwegian female immigrants to Chicago during the turn of the 20th century for a graduate history paper I am writing. I am using the 1% random selection from the 1880, 1900, and 1920 censuses to look at how many of the Norwegian immigrant women in Chicago from those selections were married, employed in certain types of jobs, etc. However, I am not sure how to relate my findings to the larger Norwegian female immigrant population of Chicago or if it can be done accurately. Even if it cannot be done, what is the best way to report my analysis of these much smaller segments accurately and explain the sample.
Yes, this is possible via the use of sample weight variables. Ethnicity and immigration status variables are person-level variables and so you will want to use the PERWT variable in your analysis. For more information on sample weights, see here. For specific information about the sampling designs of particular census samples, see here.
I hope this helps.