In a survey of 3197 randomly selected U.S adults 46% reported that they have at least one chronic health condition such as diabetes or high blood pressure. Complete parts (a) through (d) below. A. What is 47% of 3197? C. What is the actual number of survey subjects who have at least one chronic condition? D. Among those surveyed 1375 were called by landline and 1822 were called by cell phone what percentage were called by cell phone? Round one decimal place as needed my second question is which of the following is not a principle of probability? Choose the correct answer a. The probability of an event that is certain to occur is 1. B. The probability of any event is between 0 and 1  inclusive. C. All events are equally likely in any probability procedure d. The probability of an impossible event is 0

Let's break down the questions step by step.

### Part A: What is 47% of 3197?

To find 47% of 3197, you can multiply 3197 by 0.47:

\[
47\% \text{ of } 3197 = 0.47 \times 3197 = 1022.59
\]

So, 47% of 3197 is approximately **1022.6**.

### Part C: What is the actual number of survey subjects who have at least one chronic condition?

If 46% of the 3197 surveyed reported having at least one chronic health condition, you can calculate this as follows:

\[
\text{Number with chronic condition} = 0.46 \times 3197 = 1470.82
\]

Rounding to the nearest whole number, approximately **1471** subjects have at least one chronic condition.

### Part D: What percentage of those surveyed were called by cell phone?

To find the percentage of those called by cell phone:

\[
\text{Percentage} = \left( \frac{1822}{3197} \right) \times 100
\]

Calculating this gives:

\[
\text{Percentage} = \left( \frac{1822}{3197} \right) \times 100 \approx 57.0\%
\]

So, approximately **57.0%** of the subjects were called by cell phone.

### Probability Principles

For the second part, regarding which of the following is **not** a principle of probability:

- **A.** The probability of an event that is certain to occur is 1. (True)
- **B.** The probability of any event is between 0 and 1 inclusive. (True)
- **C.** All events are equally likely in any probability procedure. (Not true; events can have different probabilities)
- **D.** The probability of an impossible event is 0. (True)

The correct answer is **C**. All events are equally likely in any probability procedure.

### Summary of Answers:
- A: Approximately **1022.6**
- C: Approximately **1471**
- D: Approximately **57.0%**
- Probability answer: **C**

Would you like further details on any of these calculations? Here are some related questions you might consider:
1. How do you calculate percentages in different contexts?
2. What are some other examples of chronic health conditions?
3. Can you explain the difference between theoretical and experimental probability?
4. How do sampling methods affect survey results?
5. What are the implications of having a high percentage of adults with chronic conditions?

**Tip:** Always round percentages and counts appropriately based on the context to maintain accuracy in reporting.

In a survey of 3197 randomly selected U.S adults 46% reported that they have at least one chronic health condition such as diabetes or high blood pressure. Complete parts (a) through (d) below. A. What is 47% of 3197? C. What is the actual number of survey subjects who have at least one chronic condition? D. Among those surveyed 1375 were called by landline and 1822 were called by cell phone what percentage were called by cell phone? Round one decimal place as needed. My second question is which of the following is not a principle of probability? Choose the correct answer a. The probability of an event that is certain to occur is 1. B. The probability of any event is between 0 and 1 inclusive. C. All events are equally likely in any probability procedure d. The probability of an impossible event is 0.

Explore how to analyze survey data, including calculating percentages and understanding principles of probability. This problem highlights the percentage of U.S. adults with chronic health conditions and assesses knowledge of probability. Suitable for students in Grades 7-9.

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