Question

IVT NUTES Educational Economics 3. Educational economists strive to better understand the relationship between educational variables and other important factors operative in an economy. Observational data on n = 16 schools in the state of New York are available. Eight of these schools received a special school-wide intervention (named "Schools to Watch") designed to increase reading and mathematics achievement. The remaining eight schools in the sample did not receive the intervention. Unfortunately, researching economists were unable to assign which schools received the intervention and which ones did not using random means due to political and social reasons. As a result, the economists want to employee propensity score matching methods in order to estimate the true effect of the intervention on student achievement. The folbwing variables are available: Observation school tot min dis An identifier variable School name School size (1.e., total number of students) Proportion of minority students Proportion of students receiving free and/or reduced lunch (a measure of the amount of disadvantaged students "Schools to Watch", coded 1 = intervention school and 0 = non-intervention school Proportion of students meeting or exceeding reading and mathematics benchmarks stw ach (a) Use the matches that you identified in question Educational Economics 2 part (c) to create a new control group (Consult the notes if this concept is not familiar). Fill in the average value for each of the two types of schools for each of the variables below. Convert the proportions (ie, min, dis and ach) to percentages in your answer. (Enter all of your answers to two decimal places.)

Please help on the 3 with x next to them. Thanks!

Answer 1

So here we can see from thr information provided and the data given

If stw = 1 ; Intervention School

Stw = 0; Non intervention school(New control group)

Also the variables coded are like

tot: Total number of students in school

min: Number of students in minority

dis: The amount of disadvantaged students

Note:- The highlighted in orange are from 'intervention schools' and those in green are from 'new control group'

Q.We have to calculate the average for each of the school type, for variable named 'min' and 'dis'; since they only have the 'x' mark in front of them.

Final answer would be the converted proportions into percentages.

1.For min

Answer:-

A) Average of Minority students (when Stw=1)= 1.03/8 =0.12875

Percentage of average= (0.12875/1.03)*100 = 12.5 %

B) when stw=0

Average = 1.23/8 = 0.15375

Percentage = (0.15375/1.23)*100 = 12.5%

2.For dis

Answer:-

(Only for new control group i.e.when stw=0)

Average = sum/8 = 0.45/8 = 0.05625

Percentage of average

= (0.05625÷0.45)*100 = 12.5%

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Hence the answers to fill up at 'x' mark will be 12.5

12.5

12.5 respectively(All in percentages)