A guidance counselor at a university is investigating demand for study abroad. The question before her is how engineering and humanities majors compare regarding interest in study abroad during summer. Random samples of 20 engineering and 20 humanities majors each were interviewed. Eight engineering majors and 12 humanities majors expressed interest in study abroad during the summer. Let p₁ be the proportion of engineering majors interested in study abroad and p2 be the proportion of humanities majors interested in study abroad. The estimated difference in the proportion of engineering and humanities majors p₁ - p2 has 95% confidence interval: (-0.472,0.109). (-0.504, 0.104). (-0.104, 0.504). (-0.109, 0.472).

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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A guidance counselor at a university is investigating
demand for study abroad. The question before her is
how engineering and humanities majors compare
regarding interest in study abroad during summer.
Random samples of 20 engineering and 20
humanities majors each were interviewed. Eight
engineering majors and 12 humanities majors
expressed interest in study abroad during the
summer.
Let p₁ be the proportion of engineering majors
interested in study abroad and p2 be the proportion
of humanities majors interested in study abroad.
The estimated difference in the proportion of
engineering and humanities majors p₁ - p2 has
95% confidence interval:
(-0.472,0.109).
(-0.504, 0.104).
(-0.104, 0.504).
(-0.109, 0.472).
Transcribed Image Text:A guidance counselor at a university is investigating demand for study abroad. The question before her is how engineering and humanities majors compare regarding interest in study abroad during summer. Random samples of 20 engineering and 20 humanities majors each were interviewed. Eight engineering majors and 12 humanities majors expressed interest in study abroad during the summer. Let p₁ be the proportion of engineering majors interested in study abroad and p2 be the proportion of humanities majors interested in study abroad. The estimated difference in the proportion of engineering and humanities majors p₁ - p2 has 95% confidence interval: (-0.472,0.109). (-0.504, 0.104). (-0.104, 0.504). (-0.109, 0.472).
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