I have to respectfully disagree...most programs make comments such as this on their sites:
We expect applicants to have a background in archaeology, which is normally provided with a baccalaureate degree in anthropology or archaeology; however, undergraduate or graduate degrees in historic preservation, history, American studies, art history, Classics, Egyptology, sociology, and allied fields are accepted if the applicant demonstrates sufficient background and potential...Those admitted who show solid potential but insufficient background may be required to take select undergraduate courses in addition to the regular graduate curriculum to compensate for the deficiencies in background that might affect their performance at the graduate level. A better option for such students seeking admission – since they will be competing for a slot in the program with those who have the requisite undergraduate training – is to boost their background beyond the already-awarded bachelor’s degree by taking undergraduate archaeology courses before applying.
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Students with an MA that is not in Anthropology may petition the Graduate Committee to determine whether or not they are required to obtain a ... MA in Anthropology before entering the PhD program.
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Entering students should have a completed a bachelors degree in anthropology, history, geography, or a related field and have at least a 3.0 GPA (on a scale of 4.0) for the last 60 hours of undergraduate work....Students with an undergraduate degree in related fields may apply to the program and, working with an advisor, they can devise a plan of study that allows them to overcome their background deficiencies.
And with previous conversations to the departments and professors...it is just a lot more effort and work to try and compete for one of the few positions graduate programs offer when you're competing against people with degrees in anthropology.
Sociology is considered a 'related field and like one of the comments stated, you would have to work to "overcome background deficiences"' ...
Thus, it is truly up to you, but I would recommend speaking with the graduate department at the schools you are interested in to see what your chances are...I think anything is possible...but again, you're going to be competing for a spot so you're going to have to work really hard and prove yourself.