assignment5

library(readxl)
library(ggpubr)

## Loading required package: ggplot2

data <- read_excel("C:/Users/pakan/Downloads/A5Q1-1.xlsx")
observed <- table(data$flavor)
observed

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

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

expected <- c(0.20, 0.20, 0.20, 0.40)
chi_result <- chisq.test(x = observed, p = expected)
chi_result

## 
##  Chi-squared test for given probabilities
## 
## data:  observed
## X-squared = 41.6, df = 3, p-value = 4.878e-09

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

## [1] 0.4079216

# 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) = xx.xx, p<0.001
# The difference was moderate, (Cohen's W = 0.41).