A poll surveyed people in six countries to assess attitudes toward a variety of alternate forms of energy. Suppose the data in the following table are a portion of the poll's findings concerning favor or oppose the building of new nuclear power plants. Country Response United States Great France Italy Spain Germany Britain Strongly favor 298 161 141 128 133 204 Favor more than oppose 309 368 348 272 222 326 Oppose more than favor 219 334 381 322 311 316 Strongly oppose 220 215 217 389 443 174 (a) How large was the sample in this poll? (b) Conduct a hypothesis test to determine whether people's attitude toward building new nuclear power plants is independent of country. State the null and alternative hypotheses. O H: The attitude toward building new nuclear power plants is independent of the country. H: The attitude toward building new nuclear power plants is not independent of the country. O H: The attitude toward building new nuclear power plants is not mutually exclusive of the country. : The attitude toward building new nuclear power plants is mutually exclusive of the country. H: O H: The attitude toward building new nuclear power plants is not independent of the country. H: The attitude toward building new nuclear power plants is independent of the country. O H: The attitude toward building new nuclear power plants is mutually exclusive of the country. : The attitude toward building new nuclear power plants is not mutually exclusive of the country. H: Find the value of the test statistic. (Round your answer to two decimal places.)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
The second slide is the first part of the question and the first slide is the second part of the question.
![The image is an educational question with multiple-choice options related to statistical analysis and public opinion on nuclear power plants.
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### Using the percentage of respondents who "strongly favor" and "favor more than oppose," which country has the most favorable attitude?
- **Germany**
- **France**
- **Italy**
- **Spain**
- **Great Britain**
- **United States**
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### Which country has the least favorable attitude toward building new nuclear power plants?
- **Germany**
- **France**
- **Italy**
- **Spain**
- **Great Britain**
- **United States**
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### State your conclusion.
1. Do not reject \( H_0 \). We conclude that the attitude toward building new nuclear power plants is not independent of the country.
2. Reject \( H_0 \). We conclude that the attitude toward building new nuclear power plants is independent of the country.
3. Do not reject \( H_0 \). We cannot conclude that the attitude toward building new nuclear power plants is independent of the country.
4. Reject \( H_0 \). We cannot conclude that the attitude toward building new nuclear power plants is independent of the country.
- **p-value = [input box]** (Round your answer to four decimal places.)
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This content requires understanding statistical testing concepts such as hypotheses testing, p-value calculation, and public opinion measures.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70237df8-dfb4-41d0-af11-e6f29414ce12%2F924c85af-227c-4f2f-a289-17ce5fe4dfa4%2Fpttdtx_processed.jpeg&w=3840&q=75)
![### Analysis of Public Attitudes Towards Nuclear Power Plants
A poll surveyed individuals across six countries to evaluate their attitudes towards the construction of new nuclear power plants as alternative energy sources. Below is a summary of the poll's findings regarding support or opposition to building new nuclear power plants.
#### Table: Attitudes Toward Building New Nuclear Power Plants by Country
| Country | Response | Oppose more than favor | Strongly oppose | Favor more than oppose | Strongly favor |
|--------------|---------------------------|------------------------|-----------------|------------------------|----------------|
| Great Britain| Total: | | 220 | | 381 |
| France | Oppose more than favor: | 219 | | 348 | |
| Italy | Strongly oppose: | | 309 | | 141 |
| Spain | Favor more than oppose: | 299 | | 272 | |
| Germany | Strongly favor: | | 215 | | 128 |
| United States| | | 315 | | |
| | | | 389 | | 204 |
| | | | 443 | | 133 |
| | | | | | 316 |
#### Hypothesis Testing
(a) **Sample Size Calculation:**
- To determine the total sample size of the poll, add all values in the table.
(b) **Conducting a Hypothesis Test:**
- **Objective:** Determine if attitudes toward building new nuclear power plants vary by country.
- **Null and Alternative Hypotheses:**
- \( H_0: \) The attitude toward building new nuclear power plants is independent of the country.
- \( H_a: \) The attitude toward building new nuclear power plants is not independent of the country.
- **Options:**
- \( H_0: \) The attitude toward building new nuclear power plants is independent of the country.
- \( H_a: \) The attitude toward building new nuclear power plants is not independent of the country.
- \( H_0: \) The attitude toward building new nuclear power plants is mutually exclusive of the country.
- \( H_a: \) The attitude toward building new nuclear power plants is not mutually exclusive of](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F70237df8-dfb4-41d0-af11-e6f29414ce12%2F924c85af-227c-4f2f-a289-17ce5fe4dfa4%2Ft1yh7zj_processed.jpeg&w=3840&q=75)
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