Translation guide
The English word "Magyar" refers to the Hungarian people or language. In Japanese, it is expressed using specific terms for the ethnic group and the language.
Referring to the Magyar ethnic group or Hungarian people in general.
Standard term for the Magyar people, using the katakana rendering of 'Magyar' plus 人 (person/people).
The Magyars are the main ethnic group of Hungary.
More common term for 'Hungarian person/people', not specific to the Magyar ethnicity but widely used.
He is Hungarian.
Referring to the Magyar language, also known as Hungarian.
マジャール人/語 is more specific to the Magyar ethnicity and language, while ハンガリー人/語 is the general term for Hungarian. In most everyday contexts, ハンガリー is sufficient and more widely understood.