Question 3 of 20
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A color code personality test categorizes people into four colors – Red (Power), Blue (Intimacy), Green
(Peace), and Yellow (Fun). In general, 25% of people are Red, 35% Blue, 20% Green, and 20% Yellow.
An
art class of 45 students is tested at a university and 7 are found to be Red, 18 Blue, 9 Green, and
11 Yellow. Can it be concluded that personality type has an impact on students’ areas of interest and talents,
such as artistic students? Test at a 0.05 level of significance.
Enter the observed and expected counts for each category in the table below.
Do Not Round.
Red
Blue
Green
Yellow
Observed Counts
7
18
9
11
Expected Counts
11.25
15.75
9
9

2/28/2020
APUS CLE : MATH302 B007 Win 20 : Tests & Quizzes
1.0/ 1.0 Points
Question 4 of 20
The manager of a coffee shop wants to know if his customers’ drink preferences have changed
in the past year. He knows that last year the preferences followed the following proportions – 34%
Americano, 21% Cappuccino, 14% Espresso, 11% Latte, 10% Macchiato, 10% Other.
In a random sample
of 450 customers, he finds that 115 ordered Americanos, 88 ordered Cappuccinos, 69 ordered Espressos,
59 ordered Lattes, 44 ordered Macchiatos, and the rest ordered something in the Other category. Run a
Goodness of Fit test to determine whether or not drink preferences have changed at his coffee shop. Use a
0.05 level of significance.
Hypotheses:
H
0
: There is
_______
in drink preference this year.
H
1
: There is
_______
in drink preference this year.
Select the best fit choices that fit in the two blank spaces above.
Answer Key:
7, 18, 9, 11, 11.25, 15.75, 9, 9
Feedback:
The observed counts are given 7, 18, 9 and 11.
Calculate the expected counts 45*.25, 45*.35, 45*.20 and 45*.20
A

3/20
0.0/ 1.0 Points
Question 5 of 20
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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.

2/28/2020
APUS CLE : MATH302 B007 Win 20 : Tests & Quizzes
4/20