Can I present as male, but identify as female?

I did the 2020 census as a census taker there is a question we had to ask people and it was are male or female no mater what they looked like .i got a lot of strange looks from that question .We used apple phones to gather the info and the questions were on the screen ,i asked several people that looked almost like you and as funny as it sounds one out of maybe 25or 30 would respond as a female. some thought i was kidding and i would show them the screen and and ask again do you identify your self as a male or female.ill put down what every you answer . So there the federal government recognize you as female .