Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN: 9781285741550
Author: James Stewart
Publisher: Cengage Learning
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### Understanding Treatment Efficacy: Mild vs. Severe Acne Treatments

To answer the question about the following table, which displays the results of different treatments for mild and severe acne, review the details below:

#### Table: Comparison of Treatment Outcomes for Mild and Severe Acne

|                | **Mild Acne**      |           |            | **Severe Acne**    |            |
|----------------|--------------------|-----------|------------|--------------------|------------|
|                | **Cured**          | **Not Cured** | **Cured** | **Not Cured**      |
| **Old Treatment**  | 1                  | 4         | 43        | 43                 |
| **New Treatment**  | 26                 | 52        | 14         | 10                 |

#### Explanation of the Table

- **Old Treatment for Mild Acne:**
  - **Cured:** 1 person
  - **Not Cured:** 4 people

- **New Treatment for Mild Acne:**
  - **Cured:** 26 people
  - **Not Cured:** 52 people

- **Old Treatment for Severe Acne:**
  - **Cured:** 43 people
  - **Not Cured:** 43 people

- **New Treatment for Severe Acne:**
  - **Cured:** 14 people
  - **Not Cured:** 10 people

#### Question:
What does the number "10" in the lower right cell of the table mean?

- **Answer Choices:**
  - **A.** 10 people with severe acne were cured by the new treatment.
  - **B.** 10% of people with severe acne were not cured by the new treatment.
  - **C.** 10% of people treated with the new treatment had severe acne and were not cured.

To find the correct answer, examine the placement of the number "10" (New Treatment, Severe Acne, Not Cured).

#### Correct Answer:
- **B.** 10% of people with severe acne were not cured by the new treatment.

**Explanation:**
The number "10" represents the individuals with severe acne who were not cured using the new treatment. This does not indicate a percentage but a raw count of the individuals who were not cured. Therefore, the correct interpretation directly from the table data should reference the number of people, not a percentage.

By correctly analyzing the
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Transcribed Image Text:### Understanding Treatment Efficacy: Mild vs. Severe Acne Treatments To answer the question about the following table, which displays the results of different treatments for mild and severe acne, review the details below: #### Table: Comparison of Treatment Outcomes for Mild and Severe Acne | | **Mild Acne** | | | **Severe Acne** | | |----------------|--------------------|-----------|------------|--------------------|------------| | | **Cured** | **Not Cured** | **Cured** | **Not Cured** | | **Old Treatment** | 1 | 4 | 43 | 43 | | **New Treatment** | 26 | 52 | 14 | 10 | #### Explanation of the Table - **Old Treatment for Mild Acne:** - **Cured:** 1 person - **Not Cured:** 4 people - **New Treatment for Mild Acne:** - **Cured:** 26 people - **Not Cured:** 52 people - **Old Treatment for Severe Acne:** - **Cured:** 43 people - **Not Cured:** 43 people - **New Treatment for Severe Acne:** - **Cured:** 14 people - **Not Cured:** 10 people #### Question: What does the number "10" in the lower right cell of the table mean? - **Answer Choices:** - **A.** 10 people with severe acne were cured by the new treatment. - **B.** 10% of people with severe acne were not cured by the new treatment. - **C.** 10% of people treated with the new treatment had severe acne and were not cured. To find the correct answer, examine the placement of the number "10" (New Treatment, Severe Acne, Not Cured). #### Correct Answer: - **B.** 10% of people with severe acne were not cured by the new treatment. **Explanation:** The number "10" represents the individuals with severe acne who were not cured using the new treatment. This does not indicate a percentage but a raw count of the individuals who were not cured. Therefore, the correct interpretation directly from the table data should reference the number of people, not a percentage. By correctly analyzing the
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