please help me answer this question?
In sub-Saharan Africa, many families cannot afford to send their kids to high school because the cost of doing so is very high. You are interested in the effect of providing scholarships on high school enrollment. You are involved with an organization which gives out 300 scholarships to a randomly selected subset of children. The organization also follows up with 300 randomly chosen control children who do not get scholarships. The scholarships were given out for the 2020 school year, to kids graduating from 8th grade in 2019. You run a regression of attendance in 2020 on whether a kid was given a scholarship as follows: attendancei = [30 + lscholarshipi + 6!- where attendancei is a variable equal to 1 if the kid was in secondary school in 2020 and 0 otherwise, and scholarship!- is a variable equal to 1 if the kid got a scholarship and 0 otherwise. 51- is an error term. You get [30 = 0.23 and l = 0.58. The standard error for g is 0.14 and the standard error for [31 is 0.23. D Question 2 1 pts What is the estimated probability that a child who received a scholarship was in secondary school in 2020? Your answer should have 2 decimal points. E _ What is the estimated probability that a child who did not receive a scholarship was enrolled in secondary school in 2020? Your answer should have 2 decimal points. E Question 4 1 pts Suppose we are concerned that our regression does not control for parental income. We suspect that children of relatively well off parents are much more likely to attend school. How will introducing parental income into our regression change [31? Why? 0 Beta will increase, including more data always makes your estimates larger 0 Beta will stay the same, the scholarships were assigned randomly 0 Beta will decrease, the effect of the scholarship is less pronounced for well off children 0 We cannot say what will happen to beta, introducing additional controls is a wild and unpredictable process Question 5 1 pts Suppose an organization in another country wants to implement this scholarship program. However, they only have enough money for 50 scholarships. When they run their regression they obtain, [31: .61 and g: .25, what standard errors of .41 and .20 respectively. Can we conclude that the program was a success? 0 Yes O No Question 6 1 pts Explain briey your reasoning. Edit View Insert Format Tools Table 12ptV ParagraphV . B I U v V T2V _ Based on the regression above, can you conclude that the scholarship program increased the probability of attendance? 0 Yes 0N0 O Impossible to tell _ Suppose we include parental income in the regression and the coefcient [91 goes from .58 to .24. What could potentially cause this? 0 Failed randomization O The existence of other omitted variables 0 The data exhibits a high degree of hetroskdasticity 0 Observations are not independently drawn
