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2 weeks ago
College admissions According to information from a college admissions office, 62% of the students there attended public high schools, 26% attended private high schools, 2% were home schooled, and the remaining students attended schools in other countries. Among this college's Honors Graduates last year there were 47 who came from public schools, 29 from private schools, 4 who had been home schooled, and 4 students from abroad. Is there any evidence that one type of high school might better equip students to attain high academic honors at this college? Test an appropriate hypothesis and state your conclusion.
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Stats: Modeling the World


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H0: Distribution of school type among honors grads is the same as for whole college.
HA: Distribution of school type among honors grads is different.
These are counts; we assume this group is representative of other years; after combining home schoolers and students from abroad as "other", expected counts of 52.08, 21.84, and 10.08 are all ≥ 5. OK to do a chi-square goodness-of-fit test with 2 df.
χ2 = = + + = 3.27
P = 0.195. With such a large P-value we do not reject the null hypothesis. There is no evidence that students who graduate with honors came from different high school backgrounds than others.
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