anonymous
  • anonymous
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).
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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chestercat
  • chestercat
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anonymous
  • anonymous
Answer choices P(Grade 9 | opposed) = P(opposed | Grade 9) P(Grade 9 | opposed) > P(opposed | Grade 9) P(Grade 9 | opposed) < P(opposed | Grade 9) There is not enough information.
anonymous
  • anonymous
@mathmate
phi
  • phi
to find P(Grade 9 | opposed) that says Given the opposed (so circle that whole column) how many are Grade 9. write down the fraction # in Grade 9 in the opposed column divided by the total number in the opposed column (all Grades)

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phi
  • phi
to find P(opposed | Grade 9). which means Given Grade 9 (i.e. circle the Grade 9 row) how many in that row are opposed? make the fraction # in Grade 9 who are opposed divided by total number in Grade 9 (add up all the numbers in that row)
anonymous
  • anonymous
so it B @phi
phi
  • phi
are you able to find P(Grade 9 | opposed) ? do you see the opposed column? what is the sum of that column?
anonymous
  • anonymous
33
anonymous
  • anonymous
@phi
phi
  • phi
and 2 out of the 33 are Grade 9 so the probability of Grade 9 given opposed is 2/33
anonymous
  • anonymous
okay i understand that
phi
  • phi
now do P(opposed | Grade 9) we are "given Grade 9" what is the sum of numbers in Grade 9 ?
anonymous
  • anonymous
14
phi
  • phi
and how many of that 14 are "opposed" ? what is the fraction you should make?
anonymous
  • anonymous
2/14
phi
  • phi
so now you have 2/33 2/14 which one is bigger ?
anonymous
  • anonymous
2/14
anonymous
  • anonymous
so its c
phi
  • phi
so you want the relation that has the "big side" next to the 2/14 2/33 < 2/14
phi
  • phi
yes, choice C
anonymous
  • anonymous
alright thank you so much

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