One possibility might be a Rao-Scott design-adjusted chi-square test, which accounts for clustering.
PROC SURVEYFREQ provides this test (CHISQ option in the TABLES statement).
Documentation is here:
https://go.documentation.sas.com/?docsetId=statug&docsetTarget=statug_surveyfreq_syntax06.htm&docsetVersion=15.1&locale=en#statug.surveyfreq.sfreqchisq
and
https://go.documentation.sas.com/?docsetId=statug&docsetTarget=statug_surveyfreq_details64.htm&docsetVersion=15.1&locale=en
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