Janet wanted to understand whether grade level had any relationship to their opinion on extending the school day. She surveyed some students and displayed the results in the table below: In favor Opposed Undecided Grade 9 4 2 8 Grade 10 7 11 8 Grade 11 14 15 9 Grade 12 11 5 10 Compare P(Grade 9 | opposed) with P(opposed | Grade 9).

Question

29-01-2018
Mathematics

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Janet wanted to understand whether grade level had any relationship to their opinion on extending the school day. She surveyed some students and displayed the results in the table below: In favor Opposed Undecided Grade 9 4 2 8 Grade 10 7 11 8 Grade 11 14 15 9 Grade 12 11 5 10 Compare P(Grade 9 | opposed) with P(opposed | Grade 9).

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pmayl pmayl · Answer 1 · 2018-01-29T20:37:50+01:00

Grade In Favor Opposed Undecided Total
9 4 2 8 14
10 7 11 8 26
11 14 15 9 38
12 11 5 10 26
Total 36 33 35 104

Above is a partial sum chart that will help us in our quest.

P(Grade 9 | opposed)
The probability of Grade 9, given opposed, is the portion of opposed students that are in grade 9.
Total number opposed: 33
Number opposed in Grade 9: 2
P(Grade 9 | opposed) = 2 / 33 = 0.06

P(opposed | Grade 9)
Total Number Grade 9: 14
Number opposed in Grade 9: 2
P(opposed | Grade 9) = 2 / 14 = 0.14