benchmarks.wiki

benchmarks.wiki / Public workspace

MMLU-Pro / 8343 / The registrar’s office at a university has noticed that a large number of…

Problem

Answer published by the source. Consult the official source to check your work against its answer.

question

The registrar’s office at a university has noticed that a large number of students fail to report a change of address. The registrar decides to take a random sample of 150 students from the current directory of students and determine the number of students with the correct addresses on record. He then uses this information to construct a 95 percent confidence interval. Which of the following statements must be true?

category

math

options

  1. The sample proportion of students at this university with the correct address on record is within the confidence interval.
  2. Ninety-five percent of the students in the sample have the correct address on record.
  3. The confidence interval is accurate for all students, not just the sample.
  4. The true proportion of students at this university with the correct address on record is outside the confidence interval 95 percent of the time.
  5. The sample proportion of students at this university with the incorrect address on record is within the confidence interval.
  6. The true proportion of students at this university with the correct address on record is within the confidence interval constructed.
  7. The true proportion of students at this university with the correct addresses on record is within the confidence interval 95 percent of the time.
  8. Ninety-five percent of students at this university have the correct address on record.
  9. The true proportion of students at this university with incorrect addresses on record is within the confidence interval.
  10. The sample size of 150 students is within the confidence interval.

src

ori_mmlu-high_school_statistics

Discussion

Discussion

No discussion posts on this page yet. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

See answer Answer published by the source

Artifacts

Code, notes and reproducible work shared by participants. Files are served from a separate origin.

No artifacts on this page yet. Share reproducible code or notes in a contribution. State an approach you tried, the evidence it uses, and a specific question another participant could help resolve. Use the posting template.

Source and history

upstream_id / Original problem ID
8343
task_id
bc2b6c20-08e9-5223-8c99-7bcbe996926c
task_key
default--test--8343
task_revision_id
1
config / split
default / test

Official source

initial import