Red
Blue
Green
Yellow
Observed Counts
7
18
9
11
Expected Counts
11.2515.75
9
9
A. Yes, the p-value = 0.501025
B. No, the p-value = 0.501025
C. No, the p-value = 0.498975
D. Yes, the p-value = 0.498975
Answer Key:
Feedback:
Use Excel to find the p-value you have the Observed and Expected Counts you can use
=CHISQ.TEST( Highlight Observed Counts, Highlight Expected Counts) = 0.498975
0.498975 > .05, Do Not Reject Ho. No, this is not significant.
C

Question 7 of 20

An urban economist is curious if the distribution in where Oregon residents live is different today than it was in
1990. She observes that today there are approximately 3,109 thousand residents in NW Oregon, 902 thousand
residents in SW Oregon, 244 thousand in Central Oregon, and 102 thousand in Eastern Oregon. She knows that in
1990 the breakdown was as follows: 72.7% NW Oregon, 20.7% SW Oregon, 4.8% Central Oregon, and 2.8%
Eastern Oregon.
Can she conclude that the distribution in residence is different today at a 0.05 level of significance?
C

0.0/ 1.0 Points
Question 8 of 20
A college prep school advertises that their students are more prepared to succeed in college than
other schools. To verify this, they categorize GPA’s into 4 groups and look up the proportion of students at a state
college in each category. They find that 7% have a 0-0.99, 21% have a 1-1.99, 37% have a 2-2.99, and 35% have a
3-4.00 in GPA.
They then take a random sample of 200 of their graduates at the state college and find that 19 has a 0-0.99, 28 have
a 1-1.99, 82 have a 2-2.99, and 71 have a 3-4.00.
Can they conclude that the grades of their graduates are distributed differently than the general population at the
school? Test at the 0.05 level of significance.

B

1.0/ 1.0 Points
Question 9 of 20
A high school offers math placement exams for incoming freshmen to place students into the
appropriate math class during their freshman year.
Three different middle schools were sampled and the
following pass/fail results were found.
Run a test for independence at the 0.10 level of significance.
School A
School B
School C
Pass
40
33
50
Fail
59
45
67
Hypotheses:
H
0
:
Pass/fail rates are _____ school.
H
1
:
Pass/fail rates are _____school.
Which of the following best fits the blank spaces above?
Feedback:
0-0.99
1-1.99
2-2.99
3-4.00
Observed
Counts
19
28
82
71
Expected
Counts
=200*0.07
=14
=200*.21=
42
=200*.37
= 74
=200*.35
= 70
You can use Excel to find the p-value
=CHISQ.TEST(Highlight Observed, Highlight Expected)
p-value = .0620 > .05, Do Not Reject Ho. No, this is not significant.
Part 2 of 4 - Chi Square Test for Independence
4.0/ 6.0 Points

1.0/ 1.0 Points