library(readxl)
# Import data
A4Q2 <- read_excel("C:/Users/eboni/Downloads/A4Q2.xlsx")
# Create frequency table
observed <- table(A4Q2$status, A4Q2$scholarship)
observed
##
## 0 1
## Domestic 39 111
## International 118 32
# Create bar chart
barplot(observed,
beside = TRUE,
main = "Scholarship Status by Student Status",
xlab = "Scholarship Status",
ylab = "Count",
names.arg = c("No Scholarship", "Scholarship"),
legend.text = c("Domestic", "International"))
# Chi-Square Test of Independence
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
# Cramer's V
cramers_v <- sqrt(as.numeric(chi_result$statistic) / sum(observed))
cramers_v
## [1] 0.5205671
A Chi-Square Test of Independence was conducted to determine if there was an association between student status and scholarship status.
The results showed that there was a significant association between the two variables, χ²(1) = 81.30, p < .001.
The association was large, Cramer’s V = .52. ```