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

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26-04-2022
Mathematics

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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

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The p-value shows that onea type of high school might not be better equip students to attain high academic honors at this college.

What is a p-value?

A p-value simply means a statistical measurement that is used to validate a hypothesis against the observed data.

Here, from the table, the p-value is 0.0393. Since the p-value is less than the level of significance which is 0.05, we are going to reject the null hypothesis.

It simply means that the observed values don't support the proportion given. Here, the p-value shows that one type of high school might not be better equip students to attain high academic honors at this college.

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