How to extract columns based on max of another colums

Question

I have a dataset and I am looking to extract the state name having the highest female. let's say the data can look like. Ps: keep it simple,

I have tried

df$State.name[max(female)]

df$State.name[max(df$female)]

with(df, State.name[max(female) 

but nothing worked

See the attached image