6. A study was conducted to examine risk factors for spontaneous pneumothorax (collapsed lung), including use of car air fresheners. 430 emergency room cases were identified from Florida hospitals in 2005, and 1204 controls were sampled from the patients admitted to the emergency room for broken bones or lacerations. It was found that 110 of the cases and 214 of the controls used a car air freshener regularly. The remaining cases and controls did not use air fresheners in their car. a. Assemble the 2x2 table for this study using the information given. b. Calculate the odds of being a case among the unexposed c. Calculate the odds ratio for disease given exposure to regular car air freshener use compared to no air freshener use. d. What does the odds ratio indicate?

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### Study on Risk Factors for Spontaneous Pneumothorax

#### Overview
A study was conducted to examine risk factors for spontaneous pneumothorax (collapsed lung), focusing on the use of car air fresheners. This research identified 430 emergency room cases in Florida hospitals in 2005, with an additional 1204 controls sourced from patients admitted for injuries such as broken bones or lacerations. Among these groups, 110 cases and 214 controls regularly used car air fresheners, while the rest did not.

#### Analysis Steps

a. **Assemble the 2x2 Table**  
   Construct a 2x2 table with the provided data:

   |                      | Air Freshener Users | Non-Users |
   |----------------------|---------------------|-----------|
   | **Cases**            | 110                 | 320       |
   | **Controls**         | 214                 | 990       |

b. **Calculate the Odds of Being a Case Among the Unexposed**  
   The odds for non-users (unexposed) are calculated by dividing the number of cases by the number of controls among those who do not use air fresheners:

   Odds = 320 / 990

c. **Calculate the Odds Ratio**  
   The odds ratio (OR) is calculated as follows:

   OR = (Odds of cases among air freshener users / Odds of cases among non-users)

   OR = (110/214) / (320/990)

d. **Interpret the Odds Ratio**  
   The odds ratio provides insight into the likelihood of developing a collapsed lung for those who regularly use car air fresheners compared to those who do not. An OR > 1 indicates a higher risk among air freshener users, while an OR < 1 suggests a lower risk. An OR ≈ 1 implies no significant difference in risk between the groups.
Transcribed Image Text:### Study on Risk Factors for Spontaneous Pneumothorax #### Overview A study was conducted to examine risk factors for spontaneous pneumothorax (collapsed lung), focusing on the use of car air fresheners. This research identified 430 emergency room cases in Florida hospitals in 2005, with an additional 1204 controls sourced from patients admitted for injuries such as broken bones or lacerations. Among these groups, 110 cases and 214 controls regularly used car air fresheners, while the rest did not. #### Analysis Steps a. **Assemble the 2x2 Table** Construct a 2x2 table with the provided data: | | Air Freshener Users | Non-Users | |----------------------|---------------------|-----------| | **Cases** | 110 | 320 | | **Controls** | 214 | 990 | b. **Calculate the Odds of Being a Case Among the Unexposed** The odds for non-users (unexposed) are calculated by dividing the number of cases by the number of controls among those who do not use air fresheners: Odds = 320 / 990 c. **Calculate the Odds Ratio** The odds ratio (OR) is calculated as follows: OR = (Odds of cases among air freshener users / Odds of cases among non-users) OR = (110/214) / (320/990) d. **Interpret the Odds Ratio** The odds ratio provides insight into the likelihood of developing a collapsed lung for those who regularly use car air fresheners compared to those who do not. An OR > 1 indicates a higher risk among air freshener users, while an OR < 1 suggests a lower risk. An OR ≈ 1 implies no significant difference in risk between the groups.
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