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Conditional distributions and relationships

Example: College grades

A small private college was curious about what levels of students were getting straight A grades. College officials collected data on the straight A status from the most recent semester for all of their undergraduate and graduate students. The data is shown in the two-way table below:
UndergraduateGraduateTotal
Straight A's24060300
Not3,7604404,200
Total4,0005004,500
Problem 1
A distribution in the data is highlighted below.
What type of distribution is this?
UndergraduateGraduateTotal
Straight A's24060300
Not3,7604404,200
Total4,0005004,500
Choose 1 answer:

problem 2
What conclusion can we draw from the highlighted distribution?
Choose 1 answer:

problem 3
Officials at the college are curious if one level of student was more likely to get straight A's than the other.
Calculate the conditional distribution of straight A status for each level of student.
UndergraduateGraduateTotal
Straight A's24060300
Not3,7604404,200
Total4,0005004,500
UndergraduateGraduate
Straight A's
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
%
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
%
Not
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
%
  • Your answer should be
  • an integer, like 6
  • a simplified proper fraction, like 3/5
  • a simplified improper fraction, like 7/4
  • a mixed number, like 1 3/4
  • an exact decimal, like 0.75
  • a multiple of pi, like 12 pi or 2/3 pi
%

problem 4
Based on these conditional distributions, what can we say about the association between student level and straight A status?
Choose 1 answer:

Problem 5
For this college, is there an association between the level of student and whether or not the student has straight A's?
Choose 1 answer:

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