Final Answer:
The odds ratio for depressed people wearing cotton clothes against people who don't have depression wearing cotton clothes is approximately 0.53.
Step-by-step explanation:
To calculate the odds ratio, we use the formula: Odds Ratio = (ad/bc), where a, b, c, and d are the values from the contingency table.
For the given table:
- a (depressed and wearing cotton): 12
- b (depressed and not wearing cotton): 24
- c (not depressed and wearing cotton): 189
- d (not depressed and not wearing cotton): 263
Odds Ratio = (12 263) / (24 189) ≈ 0.53 (rounded to two decimal places)
The odds ratio of 0.53 indicates that the odds of depressed people wearing cotton clothes compared to those not depressed and wearing cotton clothes are lower by approximately 47%. This value suggests a negative association between wearing cotton clothes and depression in the surveyed group.