library(readxl)
  library(ggpubr)
## Loading required package: ggplot2
  A5Q1 <- read_excel("C:/Users/sunde/OneDrive/Desktop/A5Q1-1.xlsx")
  observed <- table(A5Q1$flavor)
  observed
## 
##  Chocolate      Mango Strawberry    Vanilla 
##         87         32         57         74
  barplot(observed,
          main = "flavor",
          xlab = "flavor",
          ylab = "Count",
          col = rainbow(length(observed)))

  expected <- c(.20,.20,.20,.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(20,.20,.20,.40).
  
  # The results showed that there [was] a difference between the observed and expected frequencies, χ²(3) = 41.6, p <0.001.
  
  # The difference was moderate, (Cohen's W = .41).