A local college recently made the news by offering foreign language-speaking dorms to its students. At another school, 50 randomly selected students from each class were asked if they favored foreign language-speaking dorms. The results are shown below. At a =0.10, is there sufficient evidence to conclude that the proportions of students favoring foreign language-speaking dorms are not the same?

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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A local college recently made the news by offering foreign language-speaking dorms to its students. At
another school, 50 randomly selected students from each class were asked if they favored foreign
language-speaking dorms. The results are shown below. At a =0.10, is there sufficient evidence to conclude
that the proportions of students favoring foreign language-speaking dorms are not the same?
Freshmen
12
Yes (favor)
No
Yes (favor)
No
38
What are the expected numbers? (round to 3 decimal places)
Sophmores
The test value is:
Sophmores
18
Freshmen
The p-value is
Since a = 0.10 the critical value is 6.251
32
The hypotheses are
Ho: P₁ P2 P3 = P4
HA: At least one of the proportions is different. (claim)
Juniors
22
28
Juniors
(round to 3 decimal places)
(round to 3 decimal places)
Seniors
20
30
Seniors
Transcribed Image Text:A local college recently made the news by offering foreign language-speaking dorms to its students. At another school, 50 randomly selected students from each class were asked if they favored foreign language-speaking dorms. The results are shown below. At a =0.10, is there sufficient evidence to conclude that the proportions of students favoring foreign language-speaking dorms are not the same? Freshmen 12 Yes (favor) No Yes (favor) No 38 What are the expected numbers? (round to 3 decimal places) Sophmores The test value is: Sophmores 18 Freshmen The p-value is Since a = 0.10 the critical value is 6.251 32 The hypotheses are Ho: P₁ P2 P3 = P4 HA: At least one of the proportions is different. (claim) Juniors 22 28 Juniors (round to 3 decimal places) (round to 3 decimal places) Seniors 20 30 Seniors
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