Analysis Plan For The Chi Square Approach

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The chi-square approach includes four steps: Hypothesis, analysis plan, sample data sample already provided in milestone 2 and results.
Hypothesis
Once the data was processed and displayed in excel, observations of data and pattern were obtained. By just looking at the display of data the relationship among variables are perceived; the type of class can be the independent variable and the dependent variables are the number of participants that might be influenced by another variable that can be unknown for us. However, We tend to assume and expect results based on what is observed in the data which can take us to wrong conclusions. According to Sharpe, N.D., De Veaux, R., & Vellerman, P. (2014), “ you are not allowed to look at the data…show more content…
Different calculations were given in module 5 to observe the data from different point of views: from the no shows count, instructors’ popularity, class patron count and patron count by the instructor. however since the main concern are the no shows,The following chart represents the number of classes and now shows per month.
Group Fitness Classes

May June July Total
Shows 112 96 105 313
No Shows 3 3 7 13
Total classes offered 115 99 112 326

The data above will be used to accept or reject the null hypothesis. This analysis plan includes a significance level of 0.05 and the Chi-square test for independence as a test method. The primary goal is to determine the relationship between the two categorical variables, in this case, month and the attendance (shows or no shows).
Sample Data Analysis According to Stattrek (n.d.), “Using sample data, find the degrees of freedom, expected frequencies, test statistic, and the P-value associated with the test statistic” (para. 4). Degree of freedom. According to Stattrek (n.d.), “DF = (r - 1) * (c - 1) Where r is the number of levels for one categorical variable, and c is the number of levels for the other categorical variable” (para. 4). So, C will represent the number months: May, June and July (3) and R represents two type of attendance (show and no show). DF = (r - 1) * (c - 1) 
= (2-1)(3-1)= (2)(2) = 4. DF = 4 Expected frequencies.
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