Question

(09.02)
Alex 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
5
3
9
Grade 10
8
12
9
Grade 11
15
16
10
Grade 12
12
6
11

Compare P(Grade 12 | opposed) with P(opposed | Grade 12). (1 point)


P(Grade 12 | opposed) = P(opposed | Grade 12)


P(Grade 12 | opposed) > P(opposed | Grade 12)


P(Grade 12 | opposed) < P(opposed | Grade 12)


There is not enough information.

Answer 1

First off, we have to find the total number of opposed students,
that is \(3+12+16+6\) which equals \(37\)

Secondly we need to find the amount of students in Grade 12,
that is \(12+6+11\) which is \(29\)

Now the question says to compare \( (Grade~12~|~opposed) \) with \( (opposed~|~Grade~12) \)

that's \(29~|~37\) with \(37~|~29\)

The rest of the items:

\( P(29~|~37)~=~P(37~|~29) \)
\( P(29~|~37)~>~P(37~|~29) \)
\( P(29~|~37)~<~P(37~|~29) \)