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MMLU-Pro / 8771 / 7.4-11. Some dentists were interested in studying the fusion of embryonic rat…

Problem

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question

7.4-11. Some dentists were interested in studying the fusion of embryonic rat palates by a standard transplantation technique. When no treatment is used, the probability of fusion equals approximately 0.89 . The dentists would like to estimate pp, the probability of fusion, when vitamin A is lacking. (a) How large a sample nn of rat embryos is needed for y/n±0.10y / n \pm 0.10 to be a 95%95 \% confidence interval for pp ?
Plain-text mathematical notation (without MathML)
7.4-11. Some dentists were interested in studying the fusion of embryonic rat palates by a standard transplantation technique. When no treatment is used, the probability of fusion equals approximately 0.89 . The dentists would like to estimate p, the probability of fusion, when vitamin A is lacking.
(a) How large a sample n of rat embryos is needed for y/n±0.10 to be a 95% confidence interval for p ?
Original LaTeX notation
7.4-11. Some dentists were interested in studying the fusion of embryonic rat palates by a standard transplantation technique. When no treatment is used, the probability of fusion equals approximately 0.89 . The dentists would like to estimate $p$, the probability of fusion, when vitamin A is lacking.
(a) How large a sample $n$ of rat embryos is needed for $y / n \pm 0.10$ to be a $95 \%$ confidence interval for $p$ ?

category

math

options

  1. 70
  2. 50
  3. 45
  4. 40
  5. 30
  6. 55
  7. $38$
  8. 65
  9. 60
  10. 25

src

scibench-stat

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Source and history

upstream_id / Original problem ID
8771
task_id
c5760563-baca-5274-a491-6567af2b684c
task_key
default--test--8771
task_revision_id
1
config / split
default / test

Official source

initial import