9. The Centers for Disease Control and Prevention reported a survey of randomly selected Americans age 65 and older, which found that 411 of 1012 men and 535 of 1062 women suffered from some form of arthritis. Create a 95% confidence interval for the difference in the proportions of senior men and women who have the disease.

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### Survey Results on Arthritis Prevalence Among Seniors

**Question 9:**

The Centers for Disease Control and Prevention reported a survey of randomly selected Americans age 65 and older, which found that 411 of 1012 men and 535 of 1062 women suffered from some form of arthritis. 

**Task:**
Create a 95% confidence interval for the difference in the proportions of senior men and women who have the disease.

This question prompts students to apply the principles of statistical analysis to real-world data, focusing on the construction of a confidence interval to compare two proportions. It is vital to highlight the steps for calculating the confidence interval, including determining the sample proportions, finding the standard error, and applying the correct z-score for a 95% confidence level.
Transcribed Image Text:### Survey Results on Arthritis Prevalence Among Seniors **Question 9:** The Centers for Disease Control and Prevention reported a survey of randomly selected Americans age 65 and older, which found that 411 of 1012 men and 535 of 1062 women suffered from some form of arthritis. **Task:** Create a 95% confidence interval for the difference in the proportions of senior men and women who have the disease. This question prompts students to apply the principles of statistical analysis to real-world data, focusing on the construction of a confidence interval to compare two proportions. It is vital to highlight the steps for calculating the confidence interval, including determining the sample proportions, finding the standard error, and applying the correct z-score for a 95% confidence level.
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