MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Hyperhidrosis Treatment Study**

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:

|                  | Reduced | Not Reduced | Total |
|------------------|---------|-------------|-------|
| Botox            | 70      | 30          | 100   |
| Placebo          | 68      | 132         | 200   |
| Total            | 138     | 162         | 300   |

**Statistical Analysis**

Construct an 80% 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.

*Hint:* Think about the formula for the confidence interval. How do we find \( z_{cv} \)?

**Confidence Interval:** ( [ ], [ ] )

We are 80% confident that there [is/is not] a difference in the proportion of teenagers with hyperhidrosis who experienced a reduction in sweating.
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Transcribed Image Text:**Hyperhidrosis Treatment Study** 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: | | Reduced | Not Reduced | Total | |------------------|---------|-------------|-------| | Botox | 70 | 30 | 100 | | Placebo | 68 | 132 | 200 | | Total | 138 | 162 | 300 | **Statistical Analysis** Construct an 80% 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. *Hint:* Think about the formula for the confidence interval. How do we find \( z_{cv} \)? **Confidence Interval:** ( [ ], [ ] ) We are 80% confident that there [is/is not] a difference in the proportion of teenagers with hyperhidrosis who experienced a reduction in sweating.
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