9. Political parties are key players in American politics. But the Constitution does not mention political parties. In fact, many of the founders, including George Washington, distrusted permanent political parties, fearing that they would become too powerful. A cluster sample was done in randomly chosen cities across the United States to see which issues were of greatest concern. a. What is the probability that a person is a Democrat that is primarily concerned about the budget? b. What is the probability that a Democrat is most concerned about the budget? c. Are party and issue mutually exclusive? Explain. d. Are party and issue independent? Explain. Healthcare Democrat Republican 28 46 Immigration 56 92 Budget 42 69

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Political parties are key players in American politics. However, the Constitution does not mention political parties. In fact, many of the founders, including George Washington, distrusted permanent political parties, fearing that they would become too powerful.

A cluster sample was conducted in randomly chosen cities across the United States to determine which issues were of greatest concern.

**Questions:**

a. What is the probability that a person is a Democrat primarily concerned about the budget?

b. What is the probability that a Democrat is most concerned about the budget?

c. Are party and issue mutually exclusive? Explain.

d. Are party and issue independent? Explain.

**Table: Concern by Issue and Political Party**

|               | Healthcare | Immigration | Budget |
|---------------|------------|-------------|--------|
| **Democrat**  | 28         | 56          | 42     |
| **Republican**| 46         | 92          | 69     |

The table provides data on the number of Democrats and Republicans concerned with Healthcare, Immigration, and the Budget.
Transcribed Image Text:Political parties are key players in American politics. However, the Constitution does not mention political parties. In fact, many of the founders, including George Washington, distrusted permanent political parties, fearing that they would become too powerful. A cluster sample was conducted in randomly chosen cities across the United States to determine which issues were of greatest concern. **Questions:** a. What is the probability that a person is a Democrat primarily concerned about the budget? b. What is the probability that a Democrat is most concerned about the budget? c. Are party and issue mutually exclusive? Explain. d. Are party and issue independent? Explain. **Table: Concern by Issue and Political Party** | | Healthcare | Immigration | Budget | |---------------|------------|-------------|--------| | **Democrat** | 28 | 56 | 42 | | **Republican**| 46 | 92 | 69 | The table provides data on the number of Democrats and Republicans concerned with Healthcare, Immigration, and the Budget.
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