library(readxl)

A4Q1 <- read_excel("~/Library/CloudStorage/OneDrive-SaintLouisUniversity/AA-5221-12/Assignment 4/A4Q1/A4Q1.xlsx")

table(A4Q1$flavor)

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

observed <- table(A4Q1$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) = 41.6, p < .001.
#The difference was moderate, (Cohen's W = .40).