Homework SourseThe following data are obtained from a study designed to exa
The following data are obtained from a study designed to examine the relationship between marital status and entertainment preference. Use the c2 test for homogeneity to determine if entertainment preference differs by marital status.
Marital Status
Individual
Small Group
Large Group
Single
18
4
3
Married
8
12
5
Separated/Divorced
10
7
8
Widowed
6
15
4
| Marital Status | Individual | Small Group | Large Group |
| Single | 18 | 4 | 3 |
| Married | 8 | 12 | 5 |
| Separated/Divorced | 10 | 7 | 8 |
| Widowed | 6 | 15 | 4 |
Solution
Use chi square test and for this create hypotheses as
H0: Entertainment preference is independent of marital status
Ha: There is association.
Prepare chi square contingency table for the given data.
The chi-square statistic is 18.389. The P-Value is 0.00533. The result is significant at p < 0.05.
Hence there is association between the two.
| Results | ||||||
| Individual | small group | large group | Row Totals | |||
| Single | 18 (10.50) [5.36] | 4 (9.50) [3.18] | 3 (5.00) [0.80] | 25 | ||
| Married | 8 (10.50) [0.60] | 12 (9.50) [0.66] | 5 (5.00) [0.00] | 25 | ||
| Separated/Divorced | 10 (10.50) [0.02] | 7 (9.50) [0.66] | 8 (5.00) [1.80] | 25 | ||
| Widowed | 6 (10.50) [1.93] | 15 (9.50) [3.18] | 4 (5.00) [0.20] | 25 | ||
| Column Totals | 42 | 38 | 20 | 100 (Grand Total) |
