In a survey of 3061 adults aged 57 through 85 years, it was found that 85.2% of them used at least one prescription medication. Complete parts (a) through (c) below. a. How many of the 3061 subjects used at least one prescription medication? O (Round to the nearest integer as needed.) b. Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication. D%

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### Survey Analysis of Prescription Medication Usage Among Adults Aged 57 to 85 Years

In a survey of 3,061 adults aged 57 through 85 years, it was found that 85.2% of them used at least one prescription medication. We will explore the analysis by addressing the following parts:

#### Part (a) - Calculation of Subjects Using Prescription Medication

**Question:**
How many of the 3,061 subjects used at least one prescription medication?

**Answer:**
(Round to the nearest integer as needed.)

To find the number of adults who used at least one prescription medication:
\[ 
\text{Number of subjects using medication} = 3061 \times 0.852 
\]

#### Part (b) - Confidence Interval Construction

**Question:**
Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication.
\[ 
\_ \% < p < \_ \% 
\]
(Round to one decimal place as needed.)

#### Part (c) - Interpretation of Results for College Students

**Question:**
What do the results tell us about the proportion of college students who use at least one prescription medication?

**Options:**
- A. The results tell us that, with 90% confidence, the probability that a college student uses at least one prescription medication is in the interval found in part (b).
- B. The results tell us that there is a 90% probability that the true proportion of college students who use at least one prescription medication is in the interval found in part (b).
- C. The results tell us nothing about the proportion of college students who use at least one prescription medication.
- D. The results tell us that, with 90% confidence, the true proportion of college students who use at least one prescription medication is in the interval found in part (b).

**Graph or Diagram Explanation:**
In this text, there are no graphs or diagrams provided. The focus is on numerical calculations and theoretical understanding of proportions and confidence intervals.

Visit our educational pages on [Confidence Intervals](#) and [Survey Statistics](#) to learn more about these analysis techniques and their applications.

---

The methodology to address the problems involves the application of statistical tools, such as proportions and confidence interval calculations, which provide an estimate range with a specified level of confidence, helping infer population parameters.
Transcribed Image Text:### Survey Analysis of Prescription Medication Usage Among Adults Aged 57 to 85 Years In a survey of 3,061 adults aged 57 through 85 years, it was found that 85.2% of them used at least one prescription medication. We will explore the analysis by addressing the following parts: #### Part (a) - Calculation of Subjects Using Prescription Medication **Question:** How many of the 3,061 subjects used at least one prescription medication? **Answer:** (Round to the nearest integer as needed.) To find the number of adults who used at least one prescription medication: \[ \text{Number of subjects using medication} = 3061 \times 0.852 \] #### Part (b) - Confidence Interval Construction **Question:** Construct a 90% confidence interval estimate of the percentage of adults aged 57 through 85 years who use at least one prescription medication. \[ \_ \% < p < \_ \% \] (Round to one decimal place as needed.) #### Part (c) - Interpretation of Results for College Students **Question:** What do the results tell us about the proportion of college students who use at least one prescription medication? **Options:** - A. The results tell us that, with 90% confidence, the probability that a college student uses at least one prescription medication is in the interval found in part (b). - B. The results tell us that there is a 90% probability that the true proportion of college students who use at least one prescription medication is in the interval found in part (b). - C. The results tell us nothing about the proportion of college students who use at least one prescription medication. - D. The results tell us that, with 90% confidence, the true proportion of college students who use at least one prescription medication is in the interval found in part (b). **Graph or Diagram Explanation:** In this text, there are no graphs or diagrams provided. The focus is on numerical calculations and theoretical understanding of proportions and confidence intervals. Visit our educational pages on [Confidence Intervals](#) and [Survey Statistics](#) to learn more about these analysis techniques and their applications. --- The methodology to address the problems involves the application of statistical tools, such as proportions and confidence interval calculations, which provide an estimate range with a specified level of confidence, helping infer population parameters.
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