A5q1

library(readxl)
library(ggpubr)

## Loading required package: ggplot2

data <- read_excel("C:/Users/kvpra/Documents/spring 2026/rlaanguage/A5Q1-1.xlsx")

observed <- table(data$flavor)
observed

## 
##  Chocolate      Mango Strawberry    Vanilla 
##         87         32         57         74

barplot(observed,
        main = "Flavor Preference",
        xlab = "Flavor",
        ylab = "Count",
        col = rainbow(length(observed)))

expected <- c(0.25, 0.25, 0.25, 0.25)

chi_result <- chisq.test(x = observed, p = expected)
chi_result

## 
##  Chi-squared test for given probabilities
## 
## data:  observed
## X-squared = 27.088, df = 3, p-value = 5.642e-06

w <- sqrt(as.numeric(chi_result$statistic) / sum(observed))
w

## [1] 0.3291686

#A Chi-Square Goodness of Fit test was conducted to determine if there was a difference between the observed flavor frequencies and the expected frequencies.

#The results showed that there was a difference between the observed and expected frequencies, χ²(3) = 27.09, p < .001.
#The difference was moderate (Cohen's W = .33).