A survey was conducted in 1990 asking American high school students to name their favorite subject in school. This survey found that, in 1990, the following proportions of students named each subject as their favorite: 30% History, 25% Math, 20% English, 15% Biology, 10% Chemistry. A researcher in the year 2020 conducts an identical survey, in order to see if students’ favorite subjects have shifted over the 30 years that have passed since the 1990 study was done. The researcher gives the survey to n=60 high school students, and gets the following observed frequencies and expected frequencies. FREQUENCY History Math English Biology Chemistry TOTAL fo 20 18 10 5 7 60 fe (.30)(60) = 18 (.25)(60) = 15 (.20)(60) = 12 (.15)(60) = 9 (.10)(60) = 6 60 QUESTION 1: Are the proportions on this problem from an assumption of all equal, or from past research?
A survey was conducted in 1990 asking American high school students to name their favorite subject in school. This survey found that, in 1990, the following proportions of students named each subject as their favorite: 30% History, 25% Math, 20% English, 15% Biology, 10% Chemistry. A researcher in the year 2020 conducts an identical survey, in order to see if students’ favorite subjects have shifted over the 30 years that have passed since the 1990 study was done. The researcher gives the survey to n=60
high school students, and gets the following observed frequencies and expected frequencies.
FREQUENCY History Math English Biology Chemistry TOTAL
fo 20 18 10 5 7 60
fe (.30)(60) =
18
(.25)(60) =
15
(.20)(60) =
12
(.15)(60) =
9
(.10)(60) =
6 60
QUESTION 1: Are the proportions on this problem from an
assumption of all equal, or from past research?
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