average duration of about 10 years. Results indicated that women receiving aspirin and those receiving placebo did not differ for rates of a first major cardiovascular event, death from cardiovascular causes, or fatal or nonfatal heart attacks. However, women receiving aspirin had lower rates of stroke than those receiving placebo (data from N.Engl. J. Med., vol. 352, 2005, pp. 1293-1304). Women's Aspirin Study Data Cardiovascular Events Group Mini-Stroke Stroke No Strokes Placebo 240 259 19443 Aspirin 185 219 19530 a. Use software to test independence. Show (i) assump- tions, (ii) hypotheses, (iii) test statistic, (iv) P-value, (v) conclusion in the context of this study. b. Describe the association by finding and interpreting the relative risk for the stroke category.

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11.54 Aspirin and heart attacks for women A study in the TECH New England Journal of Medicine compared cardiovas cular events for treatments of low-dose aspirin or placebo among 39, 876 healthy female health care providers for an average duration of about 10 years. Results indicated that women receiving aspirin and those receiving placebo did not differ for rates of a first major cardiovascular event, death from cardiovascular causes, or fatal or nonfatal heart attacks. However, women receiving aspirin had lower rates of stroke than those receiving placebo (data from N. Engl. J. Med., vol. 352, 2005, pp. 1293-1304).
Certainly! Below is the transcription of the provided text formatted for an educational website.

---

### Statistical Analysis Exercise

#### Instructions:
1. **Write a sentence interpreting the plot.**
   - a.
   - b.
   - c.

2. **Refer to Exercise 10.56, p.497.**
   - a. Complete part (a).
   - b. Complete part (b).
   - c. Complete part (c).

3. **Using only the interval calculated in part (c), can you conclude that the mean textbook price is lower at one of the stores? Explain why or why not.**

4. **What significance level did you use in part (d)?**

5. **Use software to construct an appropriate plot to estimate the population distribution and paste below. Is there any reason to believe that statistical inferences will be unreliable for these data? Explain why or why not.**

---

This set of exercises is designed to guide students through interpreting statistical plots, completing specific statistical exercises, making inferences based on calculated intervals, and utilizing software tools to visualize data distributions. Each step builds upon the previous one to develop a comprehensive understanding of statistical analysis techniques.

For further reference and to access the related exercises, please refer to your textbook, exercise 10.56 found on page 497.
Transcribed Image Text:Certainly! Below is the transcription of the provided text formatted for an educational website. --- ### Statistical Analysis Exercise #### Instructions: 1. **Write a sentence interpreting the plot.** - a. - b. - c. 2. **Refer to Exercise 10.56, p.497.** - a. Complete part (a). - b. Complete part (b). - c. Complete part (c). 3. **Using only the interval calculated in part (c), can you conclude that the mean textbook price is lower at one of the stores? Explain why or why not.** 4. **What significance level did you use in part (d)?** 5. **Use software to construct an appropriate plot to estimate the population distribution and paste below. Is there any reason to believe that statistical inferences will be unreliable for these data? Explain why or why not.** --- This set of exercises is designed to guide students through interpreting statistical plots, completing specific statistical exercises, making inferences based on calculated intervals, and utilizing software tools to visualize data distributions. Each step builds upon the previous one to develop a comprehensive understanding of statistical analysis techniques. For further reference and to access the related exercises, please refer to your textbook, exercise 10.56 found on page 497.
### Study on the Effectiveness of Aspirin in Preventing Cardiovascular Events in Women

#### Introduction
A study spanning an average duration of about 10 years analyzed the impact of aspirin on women. The primary goal was to determine whether aspirin influences the rates of first major cardiovascular events, deaths from cardiovascular causes, and fatal or nonfatal heart attacks.

#### Study Findings
Results indicated that there was no significant difference between women receiving aspirin and those receiving a placebo in terms of the rate of first major cardiovascular events, deaths from cardiovascular causes, or fatal or nonfatal heart attacks. However, a noteworthy finding was that women receiving aspirin showed lower rates of stroke compared to those receiving a placebo.

The data for this research was sourced from *New England Journal of Medicine* (N. Engl. J. Med., vol. 352, 2005, pp. 1293–1304).

#### Data Overview
The table below summarizes the cardiovascular events recorded during the study:

**Women’s Aspirin Study Data**

| Group   | Mini-Stroke | Stroke | No Strokes |
|---------|-------------|--------|------------|
| Placebo | 240         | 259    | 19443      |
| Aspirin | 185         | 219    | 19530      |

### Analysis Tasks

1. **Independence Testing:**
   - Use appropriate software to test the independence of aspirin use and the occurrence of cardiovascular events.
   - Address the following points:
     - Assumptions
     - Hypotheses
     - Test Statistic
     - P-Value
     - Conclusion in the context of the study 

2. **Association and Risk Calculation:**
   - Describe the association by finding and interpreting the relative risk for the stroke category.

#### Conclusion
This study highlights the need for a detailed analysis to evaluate the effectiveness of aspirin in reducing the risk of strokes among women, while no significant impact was observed in other major cardiovascular events.

By conducting further statistical analysis and supporting it with hypotheses testing and interpretation of relative risk, we can derive more meaningful insights that can potentially guide medical recommendations and interventions.
Transcribed Image Text:### Study on the Effectiveness of Aspirin in Preventing Cardiovascular Events in Women #### Introduction A study spanning an average duration of about 10 years analyzed the impact of aspirin on women. The primary goal was to determine whether aspirin influences the rates of first major cardiovascular events, deaths from cardiovascular causes, and fatal or nonfatal heart attacks. #### Study Findings Results indicated that there was no significant difference between women receiving aspirin and those receiving a placebo in terms of the rate of first major cardiovascular events, deaths from cardiovascular causes, or fatal or nonfatal heart attacks. However, a noteworthy finding was that women receiving aspirin showed lower rates of stroke compared to those receiving a placebo. The data for this research was sourced from *New England Journal of Medicine* (N. Engl. J. Med., vol. 352, 2005, pp. 1293–1304). #### Data Overview The table below summarizes the cardiovascular events recorded during the study: **Women’s Aspirin Study Data** | Group | Mini-Stroke | Stroke | No Strokes | |---------|-------------|--------|------------| | Placebo | 240 | 259 | 19443 | | Aspirin | 185 | 219 | 19530 | ### Analysis Tasks 1. **Independence Testing:** - Use appropriate software to test the independence of aspirin use and the occurrence of cardiovascular events. - Address the following points: - Assumptions - Hypotheses - Test Statistic - P-Value - Conclusion in the context of the study 2. **Association and Risk Calculation:** - Describe the association by finding and interpreting the relative risk for the stroke category. #### Conclusion This study highlights the need for a detailed analysis to evaluate the effectiveness of aspirin in reducing the risk of strokes among women, while no significant impact was observed in other major cardiovascular events. By conducting further statistical analysis and supporting it with hypotheses testing and interpretation of relative risk, we can derive more meaningful insights that can potentially guide medical recommendations and interventions.
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