| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | C. It is the difference between the same statistics computed from two different samples. | C |
| deepseekr1 | The question asks why there is a difference between the 58% opposition in the newspaper survey and the 56% opposition in the actual vote. The key distinction lies in the nature of the samples. The survey's respondents and the voters who participated in the election represent two distinct groups. While the survey may have aimed to reflect the entire population, the vote's outcome is based on a subset of eligible voters who chose to participate. This self-selection introduces **nonrandom sampling** in the vote, as those who voted may systematically differ from the broader population (e.g., differing levels of motivation or opinions). This systematic difference between the vote's statistic (56%) and the true population parameter (which the survey might better approximate) is best described as **bias caused by nonrandom selection**. Option **B** correctly identifies this as a systematic difference between a statistic (vote result) and the parameter (true population value) due to nonrandom selection of surveyed persons (voters). Other options, such as nonresponse bias (A) or random sampling variation (C/D), do not adequately address the structural bias introduced by the vote's self-selected participants. **Answer: B** |
C |
| gpto1 | C | C |
| GPT-4o | C. It is the difference between the same statistics computed from two different samples. | C |
| llama3.1-70B-Instruct | C |
C |
| llama3.1-405B-Instruct | C | C |
| DeepSeek-Coder-V2 | C. It is the difference between the same statistics computed from two different samples. | C |
| Qwen2-72B-Instruct | B. It is the systematic difference between a statistic and parameter caused by the nonrandom selection of surveyed persons. | C |
| baichuan4 | B | C |
| doubao | C The newspaper poll is one sample and the actual vote is another sample. The difference in percentages is due to the fact that they are computed from two different samples. Nonresponse bias doesn't seem to be the case here as it's not about people refusing to answer. It's also not about a nonrandom selection of surveyed persons as the context doesn't suggest that. And it's not about the difference between the statistic and the truth due to a random sample as the main reason for the difference is the different samples themselves. |
C |
| minimax | B. It is the systematic difference between a statistic and parameter caused by the nonrandom selection of surveyed persons. | C |
| kimi | C. It is the difference between the same statistics computed from two different samples. The difference in percentages between the survey conducted by the local newspaper and the actual vote reflects the difference between two different samples. The survey sample is the group of people who responded to the newspaper's poll, and the voting sample is the group of eligible voters who actually cast their ballots. The discrepancy could be due to various factors, including differences in the demographics or motivations of those who chose to participate in the survey versus those who chose to vote. This is not necessarily a bias in the survey response itself (nonresponse bias), nor is it a systematic difference due to nonrandom selection of surveyed persons, nor is it a difference between a statistic and the truth due to the use of a random sample. |
C |
| wenxinyiyan | C | C |
| zhipu | The best answer to describe the difference in the percentages obtained from the newspaper poll and the vote itself is: C. It is the difference between the same statistics computed from two different samples. Explanation: - Option A (nonresponse bias) refers to the tendency of certain individuals to not respond to surveys, which may not fully explain the difference here since both the poll and the vote had their own respective response rates. - Option B (systematic difference due to nonrandom selection) implies a selection bias in who was surveyed, but the question doesn't provide enough information to conclude that the selection process was nonrandom. - Option D (difference due to use of a random sample) suggests the poll used a random sample and the difference is due to randomness, but it doesn't account for the fact that the voting population itself is a different sample. Option C is the most appropriate because it acknowledges that the poll and the vote are two different samples (one being a subset of surveyed individuals and the other being the actual voters), and the difference in percentages could simply be due to the variability inherent in sampling different groups. |
C |
| gpto1 | C | C |
| deepseekv3 | The question describes a scenario where the results of a newspaper survey (58% against annexation) differ from the actual vote results (56% against annexation). This discrepancy can be attributed to the fact that not all eligible voters participated in the vote, which introduces a difference between the two samples (survey respondents and actual voters). Here’s why the other options are incorrect: - **A.** Nonresponse bias refers to individuals refusing to answer a survey, which is not the issue here. - **B.** This describes selection bias, which occurs when the sample is not representative of the population. The question does not indicate that the survey sample was nonrandom. - **D.** This refers to sampling error, which arises from using a random sample. The difference here is not due to randomness but rather to the different groups being compared (survey respondents vs. actual voters). The correct answer is: **C. It is the difference between the same statistics computed from two different samples.** Answer: **C** |
C |