问题


There is a single choice question about high school statistics. Answer the question by replying A, B, C or D.
Question: A university sent out a survey to a random sample of 120 recent graduates to see how those graduates feel about the education they received. Thirty-two of the graduates did not respond to the survey. Which of these would be the best way to proceed?
A. Use the 88 who did respond, using 88 as the sample size in the analysis.
B. Use the 88 who did respond, using 120 as the sample size in the analysis.
C. Attempt to contact the 32 who did not respond and get the information from them.
D. Select 32 more graduates at random and use them to replace the nonresponders.
Answer:

答案

模型 模型答案 正确答案
金声玉亮2.0

C. Attempt to contact the 32 who did not respond and get the information from them.

This is the best way to proceed because it allows the researcher to gather data from the entire original sample, which helps to maintain the representativeness of the sample and reduce bias. By attempting to contact the nonresponders, the researcher can increase the response rate and make the sample more representative of the population of recent graduates. This approach is more reliable than using only the respondents (A), using the original sample size with missing data (B), or replacing nonresponders with new individuals (D), which could introduce additional bias.
C
deepseekr1

The question addresses handling non-response in a survey. Non-response can introduce bias if those who didn't respond differ systematically from respondents. Here's the analysis of the options:

- **Option A** uses only the 88 responses with a sample size of 88. While technically correct for calculations, it ignores potential bias from the 32 non-respondents, which could skew results if their opinions differ. This is suboptimal but common in practice when follow-up isn’t possible.

- **Option B** incorrectly uses 120 as the sample size despite only 88 responses. This misrepresents the data and would lead to invalid statistical calculations (e.g., standard errors), making it incorrect.

- **Option C** suggests attempting to contact non-respondents. Reducing non-response is critical for minimizing bias. If feasible, this is the best approach to improve representativeness, as it addresses the root issue of missing data.

- **Option D** replaces non-respondents with new randomly selected graduates. This disrupts the original random sampling, potentially introducing new biases (e.g., if replacements differ systematically from non-respondents). Thus, it’s not a valid solution.

**Conclusion**: While Option A is a pragmatic fallback, **Option C** is the best method to reduce bias by addressing non-response directly. Assuming follow-up is possible (as implied by the question), the answer is **C**.

Answer: C
C
gpto1 When conducting a survey, nonresponses can introduce bias if the individuals who didn't respond differ in significant ways from those who did. Here's a breakdown of your options:

- **Option A:** Using only the 88 respondents and treating 88 as your sample size might lead to biased results because it doesn't account for the potential differences between respondents and nonrespondents.

- **Option B:** Using the 88 respondents but considering the sample size as 120 assumes that the nonrespondents' opinions are the same as those who responded, which may not be accurate.

- **Option C:** Attempting to contact the 32 nonrespondents aims to reduce nonresponse bias by increasing the response rate and ensuring that the sample is more representative of the entire group.

- **Option D:** Replacing the nonrespondents with new graduates changes the original random sample and might not address the underlying reasons for nonresponse. Additionally, the new graduates may also choose not to respond.

To obtain the most reliable and unbiased results, it's important to address nonresponses directly. Increasing the response rate by following up with nonrespondents is generally the best course of action to enhance the representativeness of your survey data.
C
GPT-4o C. Attempt to contact the 32 who did not respond and get the information from them. C
llama3.1-70B-Instruct

A
C
llama3.1-405B-Instruct

C. Attempt to contact the 32 who did not respond and get the information from them.

This is the best way to proceed because it aims to reduce non-response bias and increase the representativeness of the sample. By attempting to contact the non-responders, the university can try to gather information from the entire original sample, which will provide a more accurate picture of the population. Simply using the 88 who responded (option A) may lead to biased results if the non-responders differ from the responders in important ways. Using the original sample size of 120 (option B) would be incorrect because the actual sample size is 88. Selecting 32 more graduates at random (option D) would not address the issue of non-response bias and may even introduce additional bias.
C
DeepSeek-Coder-V2 A. Use the 88 who did respond, using 88 as the sample size in the analysis. C
Qwen2-72B-Instruct C. Attempt to contact the 32 who did not respond and get the information from them. C
baichuan4 C. Attempt to contact the 32 who did not respond and get the information from them. C
doubao C

It is important to attempt to contact the non-respondents to get a more complete and representative sample. Using only the 88 who responded and considering the original sample size as 120 (option B) or using just the 88 as the sample size (option A) may lead to biased results. Selecting 32 more graduates at random to replace the non-responders (option D) may also introduce new biases and is not the best approach.
C
minimax A. Use the 88 who did respond, using 88 as the sample size in the analysis. C
kimi A. Use the 88 who did respond, using 88 as the sample size in the analysis.

This is the best approach because it uses the data that is available. It's important to note that the sample size for analysis should be the number of respondents, which is 88 in this case. However, it's also important to acknowledge that the response rate (88 out of 120) could affect the representativeness of the sample and potentially introduce bias into the results. If the non-respondents are systematically different from the respondents in some way, this could impact the validity of the findings.
C
wenxinyiyan A

Explanation:
In statistics, non-response is a common issue. When dealing with non-response, it's important to consider the potential bias it may introduce. However, in many practical situations, it may not be feasible to achieve a 100% response rate.

A. Use the 88 who did respond, using 88 as the sample size in the analysis.
This option recognizes that the actual sample size for the analysis is the number of graduates who responded, which is 88. Using the actual responders as the sample size is a common and often practical approach.

B. Use the 88 who did respond, using 120 as the sample size in the analysis.
This option is incorrect because it ignores the fact that 32 graduates did not respond. Using 120 as the sample size would overestimate the precision of the survey results.

C. Attempt to contact the 32 who did not respond and get the information from them.
Although this option sounds ideal in theory, it may not be feasible in practice. Attempting to contact non-responders can be time-consuming and expensive, and there's no guarantee that they will respond even after additional attempts.

D. Select 32 more graduates at random and use them to replace the nonresponders.
This option may introduce additional bias because the new sample of 32 graduates may not be representative of the original non-responders. Replacing non-responders with a new sample can lead to misleading results if the new sample differs significantly from the non-responders in terms of the characteristics being studied.

Therefore, the best way to proceed would be to use the 88 graduates who did respond and use 88 as the sample size in the analysis (Option A).
C
zhipu C. Attempt to contact the 32 who did not respond and get the information from them.

Explanation: The best way to proceed is to attempt to gather responses from the 32 non-responders to ensure the sample remains representative of the entire group of recent graduates. This helps to reduce potential nonresponse bias, which could skew the results if only those who chose to respond are included. Using the 88 who did respond without addressing the nonresponse (Option A) or incorrectly using 120 as the sample size (Option B) can lead to biased results. Selecting 32 more graduates at random (Option D) does not address the specific issue of nonresponse from the original sample. Therefore, attempting to contact the nonresponders (Option C) is the most appropriate course of action.
C
gpto1 When conducting a survey, nonresponses can introduce bias if the individuals who didn't respond differ in significant ways from those who did. Here's a breakdown of your options:

- **Option A:** Using only the 88 respondents and treating 88 as your sample size might lead to biased results because it doesn't account for the potential differences between respondents and nonrespondents.

- **Option B:** Using the 88 respondents but considering the sample size as 120 assumes that the nonrespondents' opinions are the same as those who responded, which may not be accurate.

- **Option C:** Attempting to contact the 32 nonrespondents aims to reduce nonresponse bias by increasing the response rate and ensuring that the sample is more representative of the entire group.

- **Option D:** Replacing the nonrespondents with new graduates changes the original random sample and might not address the underlying reasons for nonresponse. Additionally, the new graduates may also choose not to respond.

To obtain the most reliable and unbiased results, it's important to address nonresponses directly. Increasing the response rate by following up with nonrespondents is generally the best course of action to enhance the representativeness of your survey data.
C
deepseekv3 The best way to proceed is to attempt to contact the 32 nonresponders to ensure the sample remains representative and unbiased. Ignoring the nonresponders or replacing them with other graduates could introduce bias into the results. Therefore, the correct answer is:

**C. Attempt to contact the 32 who did not respond and get the information from them.**
C