Research Question

Is there an association between student nationality and whether the student received a scholarship?

library(readxl)
library(rcompanion)

A4Q2 <- read_excel("C:/Users/nehab/OneDrive/A5221/Assignment 4/A4Q2.xlsx")

observed <- table(A4Q2$status, A4Q2$scholarship)
observed
##                
##                   0   1
##   Domestic       39 111
##   International 118  32
barplot(
  observed,
  beside = TRUE,
  col = rainbow(nrow(observed)),
  legend.text = rownames(observed),
  main = "Nationality and Scholarship Awarded",
  xlab = "No or Yes",
  ylab = "Count"
)

chi_result <- chisq.test(observed)
chi_result
## 
##  Pearson's Chi-squared test with Yates' continuity correction
## 
## data:  observed
## X-squared = 81.297, df = 1, p-value < 2.2e-16
rcompanion::cramerV(observed)
## Cramer V 
##   0.5272
# I corrected the effect-size calculation by using cramerV().
# My original manual calculation produced .52.
# The corrected Cramer's V is .53.
# I also updated the interpretation to explain that the association was strong.

Interpretation

A Chi-Square Test of Independence was conducted to determine whether there was an association between student nationality and scholarship status