CHI-SQUARE: 1. A record company wanted to survey its customers regarding music preferences. A random sample of 500 frequent customers of the record company was selected, and information was gathered on their music preference and job classification. From the following data, can the null hypothesis of independence between type of music and working status be rejected at the 5% significance level?
CHI-SQUARE: 1. A record company wanted to survey its customers regarding music preferences. A random sample of 500 frequent customers of the record company was selected, and information was gathered on their music preference and job classification. From the following data, can the null hypothesis of independence between type of music and working status be rejected at the 5% significance level?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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CHI-SQUARE:
1. A record company wanted to survey its customers regarding music preferences. A
random sample of 500 frequent customers of the record company was selected, and
information was gathered on their music preference and job classification. From the
following data, can the null hypothesis of independence between type of music and
working status be rejected at the 5% significance level?
Transcribed Image Text:Solution:
Step 1: State the hypotheses.
Ho:
H₁:
Step 2: The level of significance is
Step 3: Determine the degrees of freedom and the critical region.
df =
and x²critical=
Step 4: Complete the expected frequency table and compute for the value of x².
Job
Type of Music
Classification
R and B
Worker
Clerical
Managerial
Executive
x²computed=
Step 5: Decision rule.
Step 6: Conclusion.
Pop Classical Rock
Jazz
Transcribed Image Text:Job
Classification
Worker
Clerical
Managerial
Executive
Total
Pop
12
30
23
35
100
Classical
13
25
26
36
100
Type of Music
Rock
Jazz
15
17
33
40
20
13
32
30
100
100
R and B
16
38
28
18
100
Total
73
166
110
151
500
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