Great response from ShariS.
It's hard to come to any conclusions based on these ethnicity pie charts - they're a bit of a blunt tool.
ShariS wrote "since Ancestry doesn't show us where the different population bits are on our chromosomes, it's hard to say."
This reminded me that other testing services like FamilyTreeDNA and 23andMe offer a kind of "chromosome viewer" that displays which segments of your chromosomes may come from a particular ethnicity or region.
Most relevant to you question, Karyssa, is that you can also overlay other peoples' chromosome data onto yours, and see what segments overlap with yours, indicating shared ancestry. A parent or sibling would have many overlapping segments, compared with more distant cousins who might only have one tiny segment.
If Ancestry has made raw data available for download, you might be able to upload it to FTDNA, for a fee. (I did that with my results from 23andMe.)