1)
A
survey was conducted in Vancouver, Calgary and Toronto. One of the questions
had these frequencies:
|
Strongly Disagree |
Disagree |
Neutral |
Agree |
Strongly Agree |
|
|
Vancouver |
6 |
20 |
40 |
20 |
14 |
|
Calgary |
12 |
18 |
24 |
16 |
12 |
|
Toronto |
12 |
18 |
62 |
16 |
12 |
a)
Does
the response depend on what city the person is from? Test at a 5% level of
significance. (Chi-square = 13.6082; conclude the response does not depend on
the city)
b)
To
what degree does the response depend on the city the person is from? (15.01%)
c)
Suppose
the test in part a were conducted at a 10% level of
significance. What conclusion would be reached and why? (conclude the response
depends on the city)
2)
A
non-profit organization wanted to see if the number of volunteer hours depended
on a person’s work status. These were the results:
|
Contingency Table |
||||
|
Hours group |
||||
|
Group |
< 10 |
10 to 19 |
20+ |
Grand Total |
|
Working |
10 |
4 |
0 |
14 |
|
Semi-retired |
13 |
23 |
2 |
38 |
|
Retired |
15 |
30 |
8 |
53 |
|
Grand Total |
38 |
57 |
10 |
105 |
a)
Which categories need to be collapsed? (10 to 19 hours and
20+ hours)
b)
After collapsing categories, test the hypothesis at 5%. (test stat = 9.019; conclude the number of volunteer hours
depends on a person’s work status)
c)
To what degree does the number of hours depend on a
person’s work status? (29.31%)
3)
A
focus group was held in which the participants were asked how many times per month
they recycle. These are the results:
|
0 |
2 |
2 |
3 |
4 |
8 |
Is
the data normally distributed? Test at a 5% level of significance? Use the
following table to compute the test statistic:
|
X |
Z |
F(z) |
S(z) |
S'(z) |
D |
|
0 |
-1.1667 |
0.1217 |
|
|
|
|
2 |
-0.4298 |
0.3337 |
|
|
|
|
2 |
-0.4298 |
0.3337 |
|
|
|
|
3 |
-0.0614 |
0.4755 |
|
|
|
|
4 |
0.3070 |
0.6206 |
|
|
|
|
8 |
1.7808 |
0.9625 |
|
|
|
(Test
statistic = 0.2127; conclude data is normal)
From the textbook
Section
10-2 Q9 and Q10 (page 563)
Section
10-3 Q6 (page 579)
Section
10-4 Q1 and Q2 (page 592)