Tag question that refers back to Nobody

[ksdchan]

Which of the following sentence is correct if I add a tag question to the sentence "Nobody likes waiting for a bus in the rain"?

1) Nobody likes waiting for a bus in the rain, do they? (My textbook answer key, I am not sure if it is right.)
2) Nobody likes waiting for a bus in the rain, doesn't he?

From my view, the tag question need to negate the main verb. Why does answer key 1) keep "do", 2) change Nobody to they?
It does not make sense that "They" refers back the sentence subject "Nobody".

[Alan]

Your answer key is quite correct in terms of contemporary usage.

1. 'They' (or related forms, 'them' etc.) is widely used for antecedents of indeterminate gender, generally replacing more traditional/formal 'he or she'.

2. Tag questions typically differ in polarity from the foregoing clause: here 'nobody' makes the main clause negative, hence the positive tag 'do they'.