Black Judaism
Black Judaism is the collective term used to describe sects of Judaism predominantly practiced by the members of the African communities, both within the African Continent and outside Africa (such as North America). It is theologically characterized by the selective acceptance of the Judaic faith (in some cases such selective acceptance has historical circumstances), and that the belief system of Black Judaism is significantly different from the mainstream sects of Judaism. In addition, although Black Judaic communities adopt Judaic practices such as Jewish holidays and Jewish prayers, they are generally not recognized by the mainstream Jewish societies as legitimately Jewish.
Orthodox Judaism
In the State of Israel, where the total Jewish population is about 6.5 million, 22% of all Jewish respondents to a 2016 PEW survey declared themselves as observant Orthodox (9% "Haredim", or "Ultra-Orthodox", 13% "Datiim", "religious"). 29% described themselves as "traditional", a label largely implying little observance, but identification with Orthodoxy. The second largest Orthodox concentration is in the United States, where a 2013 PEW survey found that 10% of respondents identify as such, in a total Jewish population of at least 5.5 million. 3% were Modern Orthodox, 6% were Ultra-Orthodox, and 1% were "other" (Sephardic, liberal Orthodox, etc.) In Britain, of 79,597 households with at least one Jewish member that held synagogue membership in 2016, 66% affiliated with Orthodox synagogues: 53% in "centrist Orthodox", where congregants are often lax in observance, and 13% in "strictly Orthodox" (further 3% were Sephardi, which technically eschews the title "Orthodox").