Hyperhidrosis is a stressful medical condition characterized by chronic excessive sweating. Botox was approved for treatment of hyperhidrosis in adults in 2004. A clinical trial examined the effectiveness of Botox for excessive armpit sweating in teenagers aged 12 to 17 years. Participants received either a Botox injection or a placebo injection (a simple saline solution) and were examined four weeks later to see if their sweating had been reduced. Here are the study's findings: Botox Placebo Total Confidence Interval: Reduced We are 95% confident that there is 72 52 124 Not Reduced in munetir 28 148 176 Total 100 Construct a 95% confidence interval for p₁ - p2 where p₁ denotes the proportion of teenagers who experienced a reduction in sweating in the Botox group and p2 denotes the proportion of teenagers who experienced a reduction in sweating in the placebo group. Round your answers to three decimal places, and use four decimal places for any interim calculations. 200 300 a difference in the proportion of teenagers with

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### Understanding Hyperhidrosis and Treatment with Botox

Hyperhidrosis is a stressful medical condition characterized by chronic excessive sweating. Botox was approved for the treatment of hyperhidrosis in adults in 2004. A clinical trial examined the effectiveness of Botox for excessive armpit sweating in teenagers aged 12 to 17 years. Participants received either a Botox injection or a placebo injection (a simple saline solution) and were examined four weeks later to see if their sweating had been reduced. Here are the study's findings:

#### Study Results:

|            | Reduced | Not Reduced | Total |
|------------|---------|-------------|-------|
| **Botox**  | 72      | 28          | 100   |
| **Placebo**| 52      | 148         | 200   |
| **Total**  | 124     | 176         | 300   |

#### Statistical Analysis

Construct a 95% confidence interval for \( p_1 - p_2 \) where \( p_1 \) denotes the proportion of teenagers who experienced a reduction in sweating in the Botox group and \( p_2 \) denotes the proportion of teenagers who experienced a reduction in sweating in the placebo group. Round your answers to three decimal places and use four decimal places for any interim calculations.

- **Confidence Interval:** \(( \_\_\_\_ , \_\_\_\_ )\)
  
We are 95% confident that there **is** a difference in the proportion of teenagers with hyperhidrosis who experienced a reduction in sweating.
Transcribed Image Text:### Understanding Hyperhidrosis and Treatment with Botox Hyperhidrosis is a stressful medical condition characterized by chronic excessive sweating. Botox was approved for the treatment of hyperhidrosis in adults in 2004. A clinical trial examined the effectiveness of Botox for excessive armpit sweating in teenagers aged 12 to 17 years. Participants received either a Botox injection or a placebo injection (a simple saline solution) and were examined four weeks later to see if their sweating had been reduced. Here are the study's findings: #### Study Results: | | Reduced | Not Reduced | Total | |------------|---------|-------------|-------| | **Botox** | 72 | 28 | 100 | | **Placebo**| 52 | 148 | 200 | | **Total** | 124 | 176 | 300 | #### Statistical Analysis Construct a 95% confidence interval for \( p_1 - p_2 \) where \( p_1 \) denotes the proportion of teenagers who experienced a reduction in sweating in the Botox group and \( p_2 \) denotes the proportion of teenagers who experienced a reduction in sweating in the placebo group. Round your answers to three decimal places and use four decimal places for any interim calculations. - **Confidence Interval:** \(( \_\_\_\_ , \_\_\_\_ )\) We are 95% confident that there **is** a difference in the proportion of teenagers with hyperhidrosis who experienced a reduction in sweating.
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