A sample of 400 people was asked their degree of support of a balanced budget and their degree of support of public education, with the following results:
| Education/Budget | Strong | Undecided | Weak |
| Strong | 100 | 80 | 20 |
| Undecided | 60 | 80 | 20 |
| Weak | 20 | 50 | 5 |
Test the hypothesis of independence at \(\alpha =0.05\). (A chi-square table is provided.)