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MMLU-Pro / 8223 / 7.3-9. Consider the following two groups of women: Group 1 consists of women who…

Problem

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

question

7.3-9. Consider the following two groups of women: Group 1 consists of women who spend less than $500\$ 500 annually on clothes; Group 2 comprises women who spend over $1000\$ 1000 annually on clothes. Let p1p_1 and p2p_2 equal the proportions of women in these two groups, respectively, who believe that clothes are too expensive. If 1009 out of a random sample of 1230 women from group 1 and 207 out of a random sample 340 from group 2 believe that clothes are too expensive, (a) Give a point estimate of p1−p2p_1-p_2.
Plain-text mathematical notation (without MathML)
7.3-9. Consider the following two groups of women: Group 1 consists of women who spend less than $500 annually on clothes; Group 2 comprises women who spend over $1000 annually on clothes. Let p₁ and p₂ equal the proportions of women in these two groups, respectively, who believe that clothes are too expensive. If 1009 out of a random sample of 1230 women from group 1 and 207 out of a random sample 340 from group 2 believe that clothes are too expensive,
(a) Give a point estimate of p₁−p₂.
Original LaTeX notation
7.3-9. Consider the following two groups of women: Group 1 consists of women who spend less than $\$ 500$ annually on clothes; Group 2 comprises women who spend over $\$ 1000$ annually on clothes. Let $p_1$ and $p_2$ equal the proportions of women in these two groups, respectively, who believe that clothes are too expensive. If 1009 out of a random sample of 1230 women from group 1 and 207 out of a random sample 340 from group 2 believe that clothes are too expensive,
(a) Give a point estimate of $p_1-p_2$.

category

math

options

  1. $0.2115$
  2. $0.3256$
  3. $0.1298$
  4. $0.2732$
  5. $0.3021$
  6. $0.0997$
  7. $0.2389$
  8. $0.2654$
  9. $0.1874$
  10. $0.1543$

src

scibench-stat

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Source and history

upstream_id / Original problem ID
8223
task_id
f22a924b-1d43-5470-afe2-7fe16d7180a6
task_key
default--test--8223
task_revision_id
1
config / split
default / test

Official source

initial import