| 模型 | 模型答案 | 正确答案 |
|---|---|---|
| 金声玉亮2.0 | B. No Reasoning: This question requires the application of statistical reasoning and an understanding of the concept of Type I errors. A Type I error occurs when a true null hypothesis is rejected. In this case, the null hypothesis is that a fund manager does not beat the market. With a 5% significance level, we would expect to reject the null hypothesis (i.e., find a statistically significant result) 5% of the time even if the null hypothesis is true. Since 100 fund managers were tested, we would expect to find 5 fund managers (5% of 100) who appear to beat the market simply by chance, even if no fund manager actually does so. However, only 3 fund managers were found to beat the market, which is less than the expected number of Type I errors. Therefore, this does not provide prima facie evidence for stock market inefficiency. The correct answer is B. No. The other options are incorrect because: A. Yes: This is incorrect because the number of fund managers who appear to beat the market is less than the expected number of Type I errors. C. In order to answer this question, you would need to test every fund manager trading in that market: This is incorrect because the question is asking about prima facie evidence, which can be based on a sample of fund managers. D. There is insufficient information given in the question to draw a conclusion about market efficiency: This is incorrect because the question provides enough information to determine that the number of fund managers who appear to beat the market is less than the expected number of Type I errors. |
B |
| deepseekr1 | B. No **Explanation:** The question examines whether 3 out of 100 firms "beating the market" (via Jensen's alpha) suggests market inefficiency. Under the Efficient Market Hypothesis (EMH), no fund should consistently outperform. However, when conducting 100 statistical tests (e.g., at a 5% significance level), random chance alone would produce approximately 5 false positives (100 × 0.05 = 5). Observing only 3 significant results is **fewer** than the expected false positives under the null hypothesis (market efficiency). This outcome does not reject the null and provides no prima facie evidence for inefficiency. The answer assumes standard significance levels without multiple-testing adjustments, as the question does not specify such corrections. Thus, **B (No)** is correct. |
B |
| gpto1 | B | B |
| GPT-4o | B. No | B |
| llama3.1-70B-Instruct | B |
B |
| llama3.1-405B-Instruct | B. No |
B |
| DeepSeek-Coder-V2 | D. There is insufficient information given in the question to draw a conclusion about market efficiency. | B |
| Qwen2-72B-Instruct | D. There is insufficient information given in the question to draw a conclusion about market efficiency. | B |
| baichuan4 | D | B |
| doubao | D Just because 3 out of 100 firms beat the market does not necessarily provide conclusive evidence for or against market inefficiency. There could be various factors at play and more comprehensive analysis is needed to draw a definite conclusion, so there is insufficient information given in the question. |
B |
| minimax | D. There is insufficient information given in the question to draw a conclusion about market efficiency. | B |
| kimi | D. There is insufficient information given in the question to draw a conclusion about market efficiency. The finding that 3 out of 100 fund managers "beat the market" in a Jensen-type regression does not, by itself, provide prima facie evidence for stock market inefficiency. The results could be due to chance, and without additional context or statistical tests to control for the possibility of Type I errors (false positives), such as a p-value adjustment for multiple comparisons, it is not possible to conclude that the market is inefficient. |
B |
| wenxinyiyan | B ### Explanation The question asks whether finding that 3 out of 100 fund managers significantly "beat the market" using a Jensen-type regression provides prima facie evidence for stock market inefficiency. **A. Yes**: This answer suggests that the finding of 3 out of 100 fund managers beating the market is sufficient evidence to conclude market inefficiency. However, this ignores the possibility of false positives (managers appearing to beat the market due to chance or other factors not related to market inefficiency). **B. No**: This answer recognizes that the finding of a few fund managers beating the market does not necessarily indicate market inefficiency. It could be due to chance, skill, or other factors unrelated to market efficiency. Market efficiency is a broader concept that cannot be judged solely based on the performance of a small subset of fund managers. **C. In order to answer this question, you would need to test every fund manager trading in that market**: While testing every fund manager in the market would provide more comprehensive data, it is not necessary to answer the question at hand. The question asks about the significance of the finding for 3 out of 100 managers, not the entire market. **D. There is insufficient information given in the question to draw a conclusion about market efficiency**: This answer suggests that more information is needed, but the question provides enough information to assess whether the finding of 3 out of 100 managers beating the market constitutes prima facie evidence for market inefficiency. The answer is based on the interpretation of this specific finding, not on the overall state of market efficiency. Therefore, the correct answer is **B**. Finding that 3 out of 100 fund managers significantly beat the market does not, by itself, constitute prima facie evidence for stock market inefficiency. |
B |
| zhipu | D. There is insufficient information given in the question to draw a conclusion about market efficiency. This option is correct because simply knowing that 3 out of 100 firms beat the market does not provide enough context to determine if the market is inefficient. We would need additional information such as the significance level of the tests, the possibility of data-snooping bias, and the overall distribution of outcomes to properly assess market efficiency. |
B |
| gpto1 | B | B |