YOU SAID:
"I want to stay at home rather than go out."
INTO JAPANESE
「外出するよりも家にいたい。」
BACK INTO ENGLISH
"I'd rather stay home than go out."
INTO JAPANESE
「外出するより家にいたい。」
BACK INTO ENGLISH
"I'd rather stay home than go out."
That didn't even make that much sense in English.