Analysis Of The Chi-Square Test Of Independence

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In order to conduct a Chi-Square test of Independence, there must be either two categorical or ordinal variables (Mirabella, 2011). In this case, to determine if there is a difference in majors chosen by men and women the test of Independence will be used because of the two categories which are male and female. Similar to the Goodness of Fit test, the Chi-Square test of Independence possesses the two variables for gender (Mirabella, 2011). Therefore, it is not uncommon that research involves the Chi-Square Independent test when determining various important differences between variables.

For example, research suggests that by involving a student in their overall decision with their education choice of major it can produce better overall …show more content…

The Chi-Square test of Independence examines the concept referred to as Cross Tabulation (Mirabella, 2011). The difference in the Chi-Square Goodness of Fit test determines if it is a fit to proportion, and the Cross Tabulation in the Independent test is going to determine if the two variables are related (Mirabella, 2011). When dealing with proportion, the sampling error and confidence level is the significant factor (Mirabella, 2011). However, this test is looking for the error, or a difference in the relationship between the two variables and will make a decision based on the significance level, and the P-value (Mirabella, 2011). Is there a relationship between gender and the major chosen? The question for this case is calculated in the Cross Tabulation to determine if one's choice of major is dependent on one's gender. Does the answer to the question depend on one's gender? The null hypothesis here is that one's choice of major is independent of gender, and the alternate choice is one’s choice of major is dependent on one's gender (Mirabella, 2011). There could be a dependent relationship between their gender in which major was chosen. If so, the Chi-Square Independent

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