india <- read.csv("india.csv")
mean(india$female)
## [1] 0.3354037
mean(india$water)
## [1] 17.84161
var(india$female)
## [1] 0.2236025
var(india$water)
## [1] 1134.271
sd(india$female)^2
## [1] 0.2236025
 female_water<-india$water[india$female==1]
 mean(female_water)
## [1] 23.99074
 male_water<-india$water[india$female==0]
 mean(male_water)
## [1] 14.73832
 mean(female_water)- mean(male_water)
## [1] 9.252423
  1. The average of villages having an assigned woman as a politician is 0 women. The average of villages having new or repaired drinking water facilities since assignment is 18 facilities.

    1. The treatment variable would be female politician.
  1. The outcome variable would be water facilities.
  2. The treatment group would be the village the female politicians are assigned to.
  3. The control group would be the villages the female politicians are not assigned to.
  1. The average number of new or repaired water facilities in a village with a female politician was about 24 water facilities. The average number of new or repaired water facilities in a village with a male politician was about 15 water facilities.

  2. The casual effect of having a female politician is that there would be about 9 more new or repaired water facilities in the village that if a male politician would be. This assumption is made by calculating the average water facilities of both female and male-led villages and subtracting the averages. It can be inferred out of 322 villages, that female politicians would increase the number of new or repaired water facilities in India compared to male politicians.