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Researchers wanted to study if wearing cotton clothes is related to depression. they surveyed a large group of people. the data are shown in the contingency table below. what is the odds ratio for depressed people wearing cotton clothes against people who don't have depression wearing cotton clothes? round your answer to two decimal places. cottonnot cottontotaldepressed122420542not depressed189263452total311683994

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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.

User Diego ZoracKy
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7.7k points
4 votes

Answer:0.40

Step-by-step explanation:

User Dlo
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7.8k points

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