Question

In: Math

For this discussion, you will create an example to which the chi-square test of independence could...

For this discussion, you will create an example to which the chi-square test of independence could be applied. Develop a main response in which you address the following:

  • Identify two categorical variables for which a chi-square test of independence could be conducted.
  • Describe the categories of each.
  • Explain why these would be appropriate for this test.
  • Predict whether or not the chi-square test result would be significant, and what this would imply about the variables.

Solutions

Expert Solution

Two categorical variable and description for categories is given under the problem heading.

These would be appropriate for the test because a key assumption of the chi square test of independence is that each subject contributes data to only one cell. Therefore the sum of all cell frequencies in the table must be the same as the number of subjects in the experiment.

x-square = 26.2596

p-value =0.00002805

Since p-value is less than 0.05. we concluded that the tenure status of the farms are independent of a levels of soil fertility. And chi-square would be significant.


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