(a) Two random samples, 95 blue-collar workers and 50 white-collar workers were taken from a large company. These workers were asked about their views on a certain company issue. The results of the survey were collected and shown in Table Q3(a). Table Q3(a): Workers views on a certain company issue Opinion Favor Oppose Uncertain Blue-collar 27 55 20 Workers White-collar 41 30 Using a 2.5% significance level, test the null hypothesis that the opinions for the group of workers depend on type of workers.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
Section: Chapter Questions
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(a)
Two random samples, 95 blue-collar workers and 50 white-collar workers were taken
from a large company. These workers were asked about their views on a certain
company issue. The results of the survey were collected and shown in Table Q3(a).
Table Q3(a): Workers views on a certain company issue
Opinion
Favor
Oppose
Uncertain
Blue-collar
27
55
20
Workers
White-collar
41
30
Using a 2.5% significance level, test the null hypothesis that the opinions for the
group of workers depend on type of workers.
(b)
The following table list the numbers of violent crimes reported to police on randomly
selected days for this year. The data are taken from three large cities of about the same
size. The results are shown in Table Q3(b).
Table Q3(b): Number of violent crimes reported to police
City
A
4
12
3
B
9
12
3
10
7
13
C
2
4
1
13
8
6
25
At a 2.5% significance level, test the null hypothesis that the mean number of violent
crimes reported per day is the same for each of these three cities.
Transcribed Image Text:(a) Two random samples, 95 blue-collar workers and 50 white-collar workers were taken from a large company. These workers were asked about their views on a certain company issue. The results of the survey were collected and shown in Table Q3(a). Table Q3(a): Workers views on a certain company issue Opinion Favor Oppose Uncertain Blue-collar 27 55 20 Workers White-collar 41 30 Using a 2.5% significance level, test the null hypothesis that the opinions for the group of workers depend on type of workers. (b) The following table list the numbers of violent crimes reported to police on randomly selected days for this year. The data are taken from three large cities of about the same size. The results are shown in Table Q3(b). Table Q3(b): Number of violent crimes reported to police City A 4 12 3 B 9 12 3 10 7 13 C 2 4 1 13 8 6 25 At a 2.5% significance level, test the null hypothesis that the mean number of violent crimes reported per day is the same for each of these three cities.
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