1. In a video watched on lecture one, an interviewer brings up the point that the gender pay gap in the UK is 9% as evidence that modern society is still primarily dominated by men. Her point is that gender causes a wage differential. a. Write down the underlying regression that corresponds to interviewers' claim that women earn 9% less than men on average in the UK. How large would the standard errors need to be in this estimation for the gap to be indistinguishable from 0