library(readxl)

A4Q1 <- read_excel("C:/Users/siqoe/OneDrive - Saint Louis University/Assignment 4/A4Q1.xlsx")
 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(.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 ice- cream flavor frequencies and the expected frequencies.
 
 #The results showed that there was a difference between the observed and expected frequencies, χ²(3) = 41.60, p = 4.878e-09
 
 #The difference was moderate, (Cohen's W = .40).