Sally is interested in finding out if the political party affiliation of Americans who are registered to vote is related to whethe not they believe in ghosts. Suppose she finds that, among all Americans who are registered to vote, 29.5% are registered Democrats and 24.6% are registered Republicans. Among all registered American voters, the percent of people who are Democrat and who believe in ghosts is 7.8%, the percent of people who are Republicans and who believe in ghosts is 6.5%, the percent of people who affiliate with other political parties and who believe in ghosts is 12.1%. Label each branch of the tree diagram with the correct probability value.

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Sally is interested in finding out if the political party affiliation of Americans who are registered to vote is related to whether or not they believe in ghosts. Suppose she finds that, among all Americans who are registered to vote, 29.5% are registered Democrats and 24.6% are registered Republicans. Among all registered American voters, the percent of people who are Democrat and who believe in ghosts is 7.8%, the percent of people who are Republicans and who believe in ghosts is 6.5%, and the percent of people who affiliate with other political parties and who believe in ghosts is 12.1%.

Label each branch of the tree diagram with the correct probability value.

Tree Diagram:
- Main branches are divided into political party affiliations: Democrat, Republican, and Others.
- Each political party affiliation branch further divides into two branches based on belief in ghosts: Yes or No.

1. **Democrat Branch:**
   - Total: 29.5% 
   - Believe in ghosts: 7.8% 
   - Do not believe in ghosts: calculate by subtracting 7.8% from 29.5%

2. **Republican Branch:**
   - Total: 24.6%
   - Believe in ghosts: 6.5%
   - Do not believe in ghosts: calculate by subtracting 6.5% from 24.6%

3. **Other Parties Branch:**
   - Not given directly, calculate as: 100% - (Democrat % + Republican %)
   - Believe in ghosts: 12.1%
   - Do not believe in ghosts: calculate by subtracting 12.1% from the total percentage of other parties 

Note: Ensure all percentages are calculated to complete the probabilities on the tree diagram.
Transcribed Image Text:Sally is interested in finding out if the political party affiliation of Americans who are registered to vote is related to whether or not they believe in ghosts. Suppose she finds that, among all Americans who are registered to vote, 29.5% are registered Democrats and 24.6% are registered Republicans. Among all registered American voters, the percent of people who are Democrat and who believe in ghosts is 7.8%, the percent of people who are Republicans and who believe in ghosts is 6.5%, and the percent of people who affiliate with other political parties and who believe in ghosts is 12.1%. Label each branch of the tree diagram with the correct probability value. Tree Diagram: - Main branches are divided into political party affiliations: Democrat, Republican, and Others. - Each political party affiliation branch further divides into two branches based on belief in ghosts: Yes or No. 1. **Democrat Branch:** - Total: 29.5% - Believe in ghosts: 7.8% - Do not believe in ghosts: calculate by subtracting 7.8% from 29.5% 2. **Republican Branch:** - Total: 24.6% - Believe in ghosts: 6.5% - Do not believe in ghosts: calculate by subtracting 6.5% from 24.6% 3. **Other Parties Branch:** - Not given directly, calculate as: 100% - (Democrat % + Republican %) - Believe in ghosts: 12.1% - Do not believe in ghosts: calculate by subtracting 12.1% from the total percentage of other parties Note: Ensure all percentages are calculated to complete the probabilities on the tree diagram.
The image depicts a decision tree diagram used to categorize individuals based on political affiliation. The tree branches into three main categories: Democrat, Republican, and Other. Each category further branches into two options: Yes or No.

Below the decision tree, there is an "Answer Bank" containing numerical values, which appear to be probabilities or proportions relevant to the decision tree branches. The specific placement or purpose of these values in the tree is not indicated in the image, suggesting an interactive or quiz-like element for users to match these values with the corresponding branches.

The values provided in the Answer Bank are:
- 0.459
- 0.922
- 0.295
- 0.935
- 0.078
- 0.121
- 0.264
- 0.736
- 0.217
- 0.246
- 0.065
- 0.879
- 0.181

These values are likely intended to be used by students or learners to understand or calculate probabilities associated with each category and subcategory in the decision tree.
Transcribed Image Text:The image depicts a decision tree diagram used to categorize individuals based on political affiliation. The tree branches into three main categories: Democrat, Republican, and Other. Each category further branches into two options: Yes or No. Below the decision tree, there is an "Answer Bank" containing numerical values, which appear to be probabilities or proportions relevant to the decision tree branches. The specific placement or purpose of these values in the tree is not indicated in the image, suggesting an interactive or quiz-like element for users to match these values with the corresponding branches. The values provided in the Answer Bank are: - 0.459 - 0.922 - 0.295 - 0.935 - 0.078 - 0.121 - 0.264 - 0.736 - 0.217 - 0.246 - 0.065 - 0.879 - 0.181 These values are likely intended to be used by students or learners to understand or calculate probabilities associated with each category and subcategory in the decision tree.
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