问题


There is a single choice question about high school statistics. Answer the question by replying A, B, C or D.
Question: A random sample of 25 men and a separate random sample of 25 women are selected to answer questions about attitudes toward abortion. The answers were categorized as "pro-life" or "pro-choice." Which of the following is the proper null hypothesis for this situation?
A. The variables "gender" and "attitude toward abortion" are related.
B. The proportion of "pro-life" men is the same as the proportion of "pro-life" women.
C. The proportion of "pro-life" men is related to the proportion of "pro-life" women.
D. The proportion of "pro-choice" men is the same as the proportion of "pro-life" women.
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

B. The proportion of "pro-life" men is the same as the proportion of "pro-life" women.
B
deepseekr1

The question involves determining the correct null hypothesis for comparing attitudes toward abortion between men and women using two independent samples. The null hypothesis in such cases typically states there is no difference or relationship.

**Option A** suggests the variables are related, which is the alternative hypothesis for a chi-square test, not the null.

**Option B** states the proportions of "pro-life" men and women are the same. This aligns with the null hypothesis for a two-proportion z-test or chi-square test, where no difference between groups is assumed.

**Option C** incorrectly claims the proportions are "related," a vague and statistically improper phrasing.

**Option D** compares different categories (pro-choice men vs. pro-life women), which is irrelevant to testing group differences in the same category.

Thus, the proper null hypothesis is **B**, as it directly addresses equality of proportions between the two groups.

Answer: B
B
gpto1 B B
GPT-4o B. The proportion of "pro-life" men is the same as the proportion of "pro-life" women. B
llama3.1-70B-Instruct

B
B
llama3.1-405B-Instruct

B. The proportion of "pro-life" men is the same as the proportion of "pro-life" women.

This is a test of the difference between two proportions, and the null hypothesis is that there is no difference between the proportions of "pro-life" men and women. This is equivalent to saying that the proportion of "pro-life" men is the same as the proportion of "pro-life" women.

Note: The other options are not correct because:

A. The null hypothesis should state that there is no relationship or no difference, not that there is a relationship.

C. The phrase "is related to" is too vague and does not specify the nature of the relationship.

D. This option is comparing the proportion of "pro-choice" men to the proportion of "pro-life" women, which is not the correct comparison. The correct comparison is between the proportions of "pro-life" men and women.
B
DeepSeek-Coder-V2 B B
Qwen2-72B-Instruct B. The proportion of "pro-life" men is the same as the proportion of "pro-life" women. B
baichuan4 B B
doubao B

The null hypothesis typically assumes no difference or no relationship. In this case, the proper null hypothesis would be that the proportion of "pro-life" men is the same as the proportion of "pro-life" women, which is option B. Options A and C suggest a relationship which is not what the null hypothesis usually states. Option D is comparing the proportion of "pro-choice" men to the proportion of "pro-life" women which is not the appropriate comparison for the null hypothesis.
B
minimax B. The proportion of "pro-life" men is the same as the proportion of "pro-life" women. B
kimi B. The proportion of "pro-life" men is the same as the proportion of "pro-life" women. B
wenxinyiyan B B
zhipu B

The proper null hypothesis for this situation is that there is no difference in the proportions of "pro-life" attitudes between men and women. Therefore, the correct answer is:

B. The proportion of "pro-life" men is the same as the proportion of "pro-life" women.
B
gpto1 B B
deepseekv3 The proper null hypothesis for this situation is that there is no difference in the proportions of "pro-life" men and "pro-life" women. This means we are assuming that the proportions are the same until evidence suggests otherwise.

The correct answer is:

**B. The proportion of "pro-life" men is the same as the proportion of "pro-life" women.**
B