Dr. Vance is conducting an observational study to see if there is an association between the type of therapeutic intervention a patient receives (CBT vs. MBCT) and their recovery status after six months (Fully Recovered vs. Partially Recovered).
Complete Table 2 to calculate the chi-squared test statistic for Dr. Vance's study to two decimal places.
Table 2: Chi-squared calculation table
| Patient Group | Recovery Status | Observed (OOO) | Expected (EEE) | O−EO-EO−E | (O−E)2(O-E)^2(O−E)2 | (O−E)2/E(O-E)^2/E(O−E)2/E |
|---|---|---|---|---|---|---|
| CBT | Fully Recovered | 10 | 7.2 | |||
| Partially Recovered | 10 | 12.8 | ||||
| MBCT | Fully Recovered | 8 | 10.8 | |||
| Partially Recovered | 22 | 19.2 | ||||
| Chi-squared (χ2\chi^2χ2) = |
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