MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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Two drug were tested on a group of 2000 people. The following table represents the results of those tests. Complete the columns for cure rates for the 4 groups before answering the questions.
![### Drug Effectiveness Study
Two drugs were tested on a group of 2000 people. The following table represents the results of those tests. Complete the columns for cure rates for the four groups before answering the questions.
| | Women | Cure Rate | Men | Cure Rate |
|-------------------|------------------|-------------------|----------------|------------------|
| **Drug A** | 5 of 100 cured | | 400 of 800 cured| |
| **Drug B** | 101 of 900 cured | | 196 of 200 cured| |
#### Questions:
(a) The cure rates you calculated in the table suggest that one drug is more effective than the other. Which one?
(b) Determine which drug is more effective overall. Does it agree with the result in (a)?
(c) How do you explain the discrepancy in the results?
---
### Cure Rate Calculation:
To determine the cure rates for each group, we calculate them using the formula:
\[ \text{Cure Rate} = \left( \frac{\text{Number of Cured People}}{\text{Total Number of People}} \right) \times 100 \]
For **Drug A**:
- **Women**: \( \frac{5}{100} \times 100 = 5\% \)
- **Men**: \( \frac{400}{800} \times 100 = 50\% \)
For **Drug B**:
- **Women**: \( \frac{101}{900} \times 100 = 11.22\% \)
- **Men**: \( \frac{196}{200} \times 100 = 98\% \)
### Completed Table:
| | Women | Cure Rate | Men | Cure Rate |
|-------------------|------------------|-------------------|----------------|------------------|
| **Drug A** | 5 of 100 cured | 5% | 400 of 800 cured| 50% |
| **Drug B** | 101 of 900 cured | 11.22% | 196 of 200 cured| 98% |
### Questions with Answers:
(a) **The cure rates suggest:**
- For women, Drug B (11.22%) is more effective than Drug A (5%).
- For men, Drug B](https://content.bartleby.com/qna-images/question/c2527d55-bafb-4364-9044-dce9e5596181/b31fe507-a576-4e01-8244-293ce6b56087/6tw5hoo_processed.png)
Transcribed Image Text:### Drug Effectiveness Study
Two drugs were tested on a group of 2000 people. The following table represents the results of those tests. Complete the columns for cure rates for the four groups before answering the questions.
| | Women | Cure Rate | Men | Cure Rate |
|-------------------|------------------|-------------------|----------------|------------------|
| **Drug A** | 5 of 100 cured | | 400 of 800 cured| |
| **Drug B** | 101 of 900 cured | | 196 of 200 cured| |
#### Questions:
(a) The cure rates you calculated in the table suggest that one drug is more effective than the other. Which one?
(b) Determine which drug is more effective overall. Does it agree with the result in (a)?
(c) How do you explain the discrepancy in the results?
---
### Cure Rate Calculation:
To determine the cure rates for each group, we calculate them using the formula:
\[ \text{Cure Rate} = \left( \frac{\text{Number of Cured People}}{\text{Total Number of People}} \right) \times 100 \]
For **Drug A**:
- **Women**: \( \frac{5}{100} \times 100 = 5\% \)
- **Men**: \( \frac{400}{800} \times 100 = 50\% \)
For **Drug B**:
- **Women**: \( \frac{101}{900} \times 100 = 11.22\% \)
- **Men**: \( \frac{196}{200} \times 100 = 98\% \)
### Completed Table:
| | Women | Cure Rate | Men | Cure Rate |
|-------------------|------------------|-------------------|----------------|------------------|
| **Drug A** | 5 of 100 cured | 5% | 400 of 800 cured| 50% |
| **Drug B** | 101 of 900 cured | 11.22% | 196 of 200 cured| 98% |
### Questions with Answers:
(a) **The cure rates suggest:**
- For women, Drug B (11.22%) is more effective than Drug A (5%).
- For men, Drug B
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