Research Question

A private all-girls elementary school has developed two different uniform designs: Design A and Design B. They are hoping at least one of the designs will be preferred by both mothers and fathers. We want to determine if there is a relationship between uniform design and parent.

Hypotheses

Chi-Square Test of Independence

# Load required libraries
library(readxl)
library(lsr)

# Import the Excel dataset 
dataset <- read_excel("C:/Users/Nithin Kumar Adki/Downloads/RQ2.xlsx")

# Create a contingency table
contingencytable <- table(dataset$Parent, dataset$Preferred_Design)
print(contingencytable)
##         
##           A  B
##   Father 21 29
##   Mother 31 19
# Run Chi-Square Test of Independence
chisq_indep <- chisq.test(contingencytable)
print(chisq_indep)
## 
##  Pearson's Chi-squared test with Yates' continuity correction
## 
## data:  contingencytable
## X-squared = 3.2452, df = 1, p-value = 0.07163
# Calculate Cramer's V (effect size)
cramers_v <- cramersV(contingencytable)
cat("Cramer's V (effect size):", round(cramers_v, 3), "\n")
## Cramer's V (effect size): 0.18