Hi readers! Today we will discuss about Chi Square Test. It is one of the tests of Hypothesis testing. The Chi-square test stands as a cornerstone in statistical analysis, offering researchers a powerful tool to assess the association between categorical variables. Whether in biology, sociology, marketing, or any field that involves categorical data, the Chi-square test proves invaluable. It is also called Test of Independence.
Type of data – This test is performed for Discrete data only.
Let us illustrate this with an example. In a particular organization, 379 males applied for a job opening, and 25 of them were selected. Additionally, 263 females applied, with 15 of them being selected. The question that arises is whether the selection process is gender-specific. The details of the applied candidates and the selection outcomes are provided in the table.”
| Gender | Applied | Selected |
| Male | 379 | 25 |
| Female | 263 | 15 |
Step for conducting Chi Square Test in Minitab.
Formulate Hypotheses
H0: Selection is independent of gender. (Null Hypothesis)
H1: Selection is dependent on gender. (Alternative Hypothesis)
Open Minitab.
Path – Stat>Tables> Chi Square Test for association, Next, select the summarized data in a two-way table. Then, in place of columns containing the table, choose ‘Applied’ and ‘Selected’ as shown in the picture below. Finally, click OK.”
Result –
Conclusion – Now here we can see the result. As shown in above picture. In this case, since the p-value is greater than 0.05, we cannot reject the null hypothesis (H0). Therefore, we accept the null hypothesis, indicating that the selection of applicants is independent of gender.