: Determines whether two categorical variables (like gender and voting preference) are related or independent. The General Formula χ2chi squared
A die is rolled 60 times. Observed frequencies: 1→8, 2→12, 3→10, 4→9, 5→11, 6→10 Question: Is the die fair? (α = 0.05) chi-square test example problems with answers ppt
| Face | 1 | 2 | 3 | 4 | 5 | 6 | |------|---|---|---|---|---|---| | Observed | 8 | 12 | 10 | 9 | 11 | 10 | : Determines whether two categorical variables (like gender
| Cell | O | E | O-E | (O-E)² | /E | |------|---|---|-----|--------|----| | M, A | 50 | 55 | -5 | 25 | 0.4545 | | M, B | 70 | 55 | 15 | 225 | 4.0909 | | M, C | 30 | 40 | -10 | 100 | 2.5 | | F, A | 60 | 55 | 5 | 25 | 0.4545 | | F, B | 40 | 55 | -15 | 225 | 4.0909 | | F, C | 50 | 40 | 10 | 100 | 2.5 | (α = 0