“The chi-square test of independence is used to determine if two categorical variables are independent of one another” (Donnelly, 2013, p. 612). In this scenario, the Mi Casa Front Porch restaurant has gathered data from the items sold off of the menu during the last week. The restaurant has organized the data into two different categories which is the type of presentation and the type of meat. The restaurant wants to determine if there is a difference between the two categories and if there is a dependency between them. I will assist the restaurant by formulating a testable hypothesis and I will perform the proper calculations to analyze and interpret the hypothesis that is based on the provided data. Mi Casa Front Porch restaurant has provided two categorical variables that need to be tested to determine whether or not they…show more content… The type of presentation consists of three distinct presentations which are tacos, enchiladas, and fajitas. The type of meat consists of four distinct meats which are beef, chicken, pork, and seafood. The type of presentation will be our three columns and the type of meat will be our four rows, which we will use later to determine the degrees of freedom. I will assign a 0.05 significance level for this test, which represents the probability of making a Type I error. Since the restaurant wants to determine the dependency of the two categorical variables provided, the null hypothesis will be the type of presentation and the type of meat are independent of one another. That will make the alternative hypothesis the type of presentation and the types of meat are not independent of one another. The restaurant has already provided the observed frequencies for the two categorical variables, but we must calculate the expected frequencies by using the appropriate formula. I will calculate the expected frequency for each observed frequency by multiplying the row total and the column total together and dividing
