Researchers conducted a study to investigate whether there is an association between age group and preferred learning format. Participants from three age brackets (Young Adults, Middle-aged, and Seniors) were asked whether they preferred online or in-person seminars. The results are shown in the table below:
Table 1: Preferred learning format by age group
| Age Group | Online | In-person |
|---|---|---|
| Young Adults | 45 | 15 |
| Middle-aged | 30 | 30 |
| Seniors | 10 | 50 |
Using the extract of the tables of critical values for the Chi-square test presented below, what is the critical value at the 5% probability level for data collected in this study?
Extract of critical values for Chi-square (χ2\chi^2χ2) test:
| Degrees of freedom (df) | 0.5 | 0.05 | 0.01 |
|---|---|---|---|
| 1 | 0.455 | 3.841 | 6.635 |
| 2 | 1.386 | 5.991 | 9.210 |
| 3 | 2.366 | 7.815 | 11.345 |
| 4 | 3.357 | 9.488 | 13.277 |
| 5 | 4.351 | 11.070 | 15.086 |
