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Chapter 12: Q. 12.93 (page 518)

Although the chi-square homogeneity test and the chi-square independence test use essentially the same basic procedure, the context of the two tests are quite different. Explain the difference.

Short Answer

Expert verified
Chi-square homogeneity test:
  • It provides the procedure to compare more than two population proportions.
  • The null hypothesis states that more than two populations within one variable is equal.
  • The proportions are same for all populations

Chi-square independence test:

  • It provides the procedure to compare the two variables.
  • The null hypothesis states that the two variables are not associated.
  • There is only one population within two variables.

Step by step solution

01

Step 1. Given information

Given tests are chi-square homogeneity test and chi-square independence test

02

Step 2. The difference between chi-square homogeneity test and chi-square independence test: 

Difference between chi-square homogeneity test and chi-square independence test:
Chi-square homogeneity test:
  • It provides the procedure to compare more than two population proportions.
  • The null hypothesis states that more than two populations within one variable is equal.
  • The proportions are same for all populations

Chi-square independence test:

  • It provides the procedure to compare the two variables.
  • The null hypothesis states that the two variables are not associated.
  • There is only one population within two variables.

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