library(readxl)
## Warning: package 'readxl' was built under R version 4.5.3
library(ggpubr)
## Warning: package 'ggpubr' was built under R version 4.5.3
## Loading required package: ggplot2
## Warning: package 'ggplot2' was built under R version 4.5.3
A5Q1_1 <- read_excel("C:/Users/jrutebuka/Desktop/A5Q1_1.xlsx")
observed <- table(A5Q1_1$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(2) = 41.6, p =0.001.

# The difference was moderate, (Cohen's W = .40).