A researcher investigated whether there is an association between age group (Under 30 vs 30 and over) and preferred type of physical exercise (Running, Swimming, Yoga, or Weightlifting).
Table 1: Number of participants choosing each preferred exercise type
| Age Group | Running | Swimming | Yoga | Weightlifting |
|---|---|---|---|---|
| Under 30 | 34 | 18 | 22 | 46 |
| 30 and over | 28 | 32 | 40 | 20 |
Table 2: Extract of the table of critical values for the Chi-Square (chi2\\chi^2chi2) test
| Degrees of freedom (df) | 0.10 | 0.05 | 0.01 | | :--- | :---: | :---: | :---: | :---: | | 1 | 2.706 | 3.841 | 6.635 | | 2 | 4.605 | 5.991 | 9.210 | | 3 | 6.251 | 7.815 | 11.345 | | 4 | 7.779 | 9.488 | 13.277 |
Using the tables above, what is the critical value at the 1% significance level (p=0.01p = 0.01p=0.01) for the chi-square test calculated on this data?
513 exam-style questions on OCR A Level Psychology Data recording, analysis and presentation. Each one has a worked solution and a mark scheme showing where the marks go.