问题


There is a single choice question about high school statistics. Answer the question by replying A, B, C or D.
Question: Which of these is the best description of a P-value?
A. The probability of making a Type I error.
B. The probability of making a Type II error.
C. The probability of rejecting the null hypothesis if it is, in fact, false.
D. The probability of getting a test statistic at least as extreme as the observed test statistic, if the null hypothesis is true.
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

D. The probability of getting a test statistic at least as extreme as the observed test statistic, if the null hypothesis is true.		 D
deepseekr1

The P-value is best described as the probability of obtaining a test statistic at least as extreme as the one observed, assuming the null hypothesis is true. This matches option D.

- **Option A** refers to the probability of a Type I error (α), which is a predetermined significance level, not the P-value itself.
- **Option B** pertains to a Type II error (β), unrelated to the P-value.
- **Option C** describes statistical power (1−β), not the P-value.
- **Option D** correctly defines the P-value by emphasizing the extremeness of the test statistic under the null hypothesis.

**Answer: D**		 D
gpto1 D D
GPT-4o D. The probability of getting a test statistic at least as extreme as the observed test statistic, if the null hypothesis is true. D
llama3.1-70B-Instruct

D		 D
llama3.1-405B-Instruct

D. The probability of getting a test statistic at least as extreme as the observed test statistic, if the null hypothesis is true.		 D
DeepSeek-Coder-V2 D D
Qwen2-72B-Instruct D. D
baichuan4 D D
doubao D D
minimax D. The probability of getting a test statistic at least as extreme as the observed test statistic, if the null hypothesis is true. D
kimi D D
wenxinyiyan D D
zhipu D. The probability of getting a test statistic at least as extreme as the observed test statistic, if the null hypothesis is true. D
gpto1 D D
deepseekv3 D. The probability of getting a test statistic at least as extreme as the observed test statistic, if the null hypothesis is true. D