What is the χ2critical that you would look up on the χ2 table for this problem, if using an alpha of .01?
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) = (.25)(60) = (.20)(60) = (.15)(60) = (.10)(60) =
18 15 12 9 6 60 What is the χ2critical that you would look up on the
χ2 table for this problem, if using an alpha of .01?
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