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Answer Q4 and Q5 using the following information. An economist is interested in the determinants of child labor, and based on the following population model, wants to test whether the literacy of the mother has double the predictive power of the father on the hours worked by a child. hours worked = [30 + [31 age + zrural + B3mother's literacy +B4father's literacy + [35 female + u (3) Thus, the economist wants to test the following: Ho: [93 = 254; H1: 63 at 2B,, which can be rewritten in terms ofthe parameter 6, as Ho: 6 = 83 284 = 0; H1: 6 at 0. The economist produces the following regression output, where tradhrs and mlit are the variables for hours worked and mother's literacy respectively, while all other variables m are as in the model above. tradhrs | Coef. Std. Err. t P>|tr [95% Conf. Interval] _____________ +_______________________________________________________________ age I 1.724362 .0394592 43.70 0.000 1.647017 1.801708 rural | 5.824115 .2389982 24.37 0.000 5.355645 6.292586 mlit l -.4916243 .4298869 -1.14 0.253 -1.334264 .3510151 X | 2.468815 .2486429 -9.93 0.000 -2.95619 -1.981439 female | 1.67421 .222099 7.54 0.000 1.238864 2.109555 cons | -11.28735 .4963216 -22.74 0.000 -12.26021 -10.31449 2132!:' ECON 339 PBS 2020 Midsession Exam Pa 9 2 of4 UNIVERSITY OF WOLLONGONG 4. If this output provides a direct estimate of 8 and its standard error, as well as a direct estimate of all but one of the B's, how must X be dened? [Hint Substitute B3 = 6 + 2 B, into the regression (3) and re-arrange terms]. 5. If this output provides a direct estimate of 3 and its standard error, as well as a direct estimate of all but one of the B's, what is the estimate of 6? Is the coefcient 6 statistically signicant at the 5% level