Question 2

Research Question - Is there an association between student nationality (domestic versus international) and whether or not they have a scholarship (yes versus no)?

Null Hypothesis (H0) There is no association between student nationality and scholarship status.

Alternative Hypothesis (H1) There is an association between student nationality and scholarship status.

library(readxl)

## Warning: package 'readxl' was built under R version 4.6.1

A5Q2 <- read_excel("A5Q2.xlsx")
obs <- table(A5Q2$nationality,A5Q2$scholarship_awarded)
obs

##                
##                   0   1
##   Domestic       39 111
##   International 118  32

result <- chisq.test(obs)
result

## 
##  Pearson's Chi-squared test with Yates' continuity correction
## 
## data:  obs
## X-squared = 81.297, df = 1, p-value < 2.2e-16

Since the p-value (< 2.2 × 10^-16) is less than the significance level of 0.05, we reject the null hypothesis.

There is sufficient evidence to conclude that there is a significant association between student nationality and scholarship status.