You are conducting a test of homogeneity for the claim that two different populations have the same proportions of the following two characteristics. Here is the sample data. Category Population #1 Population #2 A 41 74 B 36 69
You are conducting a test of homogeneity for the claim that two different populations have the same proportions of the following two characteristics. Here is the sample data. Category Population #1 Population #2 A 41 74 B 36 69
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.7: Probability
Problem 58E: What is meant by the sample space of an experiment?
Related questions
Question
You are conducting a test of homogeneity for the claim that two different populations have the same proportions of the following two characteristics. Here is the sample data.
| Category | Population #1 |
Population #2 |
|---|---|---|
| A | 41 | 74 |
| B | 36 | 69 |
The expected observations for this table would be
| Category | Population #1 |
Population #2 |
|---|---|---|
| A | ||
| B |
The resulting Pearson residuals are:
| Category | Population #1 |
Population #2 |
|---|---|---|
| A | ||
| B |
What is the chi-square test-statistic for this data?
χ2=
Report all answers accurate to three decimal places.
Expert Solution
Step 1
We want to find .
chi-square test-statistic.
χ2=∑(Oij−Eij)^2/Eij
Trending now
This is a popular solution!
Step by step
Solved in 4 steps
Recommended textbooks for you
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning