6. You are hired by the government to measure gender bias in mayoral elections. You collect data on candidates from the most recent mayoral elections in 124 Canadian municipalities. Your data includes the following variables: the share of the vote (out of 100) obtained by each candidate (K); the number of years of political experience the candidate has (EXg); and an indicator equal to one if the candidate is female and zero otherwise (Fr) You use these data to estimate the following regression models: 14:6 1463 2EX+e (1) K36 1413 2EX+0F+B (2) 143:6 14753 2EX+6F+7FXEX+B (3) You obtain the following results: Variable: (1) (2) (3) EX 0.11 0.18 0.22 (0.03) (0.04) (0.04) F -0.21 -0.14 (0.08) (0.06) F X EX -0.15 (0.06) CONSTANT 0.35 0.42 0.39 (0.11) (0.12) (0.10) Observations 124 124 124 SSE 875.1 864.2 811.5 SST 1015 1015 1015 (a) (4 pts) Interpret the estimates 0135' 1,8 2, 6 and 7 from column (3) of the table of estimates given above. (b) (4 pts) Compare your estimate ofi' 2 in columns (1) and (2). Based on this compar- ison, do you think that female candidates have more or less experience on average than male candidates? Explain your answer. (c) (4 pts) Test the hypothesis that gender has no effect of any kind on vote share. (d) (4 pts) One of your colleagues suggests that a year of experience increases a woman's vote share by 2 percentage points less than it increases a man's vote share. Test this hypothesis at the 5% level using a twosided t test