In: Statistics and Probability
The tertiary education advisory board is interested in current
attitudes within society toward gaining a university qualification.
The advisory board believes that a person’s attitude toward
university qualifications will be influenced by their age. The
variables to use in answering this question are Age (i.e. 18-38,
39-59 or 60+), and Attitude (i.e. a person’s attitude toward
gaining a university qualification). Attitude was measured on a
seven-point semantic differential scale that was anchored 1=not at
all important to 7=very important. Is there a relationship between
age and attitude toward gaining a university qualification? -
Chi-square test for independence because we want to identify the
relationship between two categorical variables row 1(going down):
Age Row 2 (going down): Attitude
The tertiary education advisory board is interested in
current
attitudes within society toward gaining a university
qualification.
The advisory board believes that a person’s attitude toward
university qualifications will be influenced by their age.
The
variables to use in answering this question are Age (i.e.
18-38,
39-59 or 60+), and Attitude (i.e. a person’s attitude toward
gaining a university qualification). Attitude was measured on
a
seven-point semantic differential scale that was anchored 1=not
at
all important to 7=very important. Is there a relationship
between
age and attitude toward gaining a university qualification? -
Chi-square test for independence because we want to identify
the
relationship between two categorical variables row 1(going
down):
Age Row 2 (going down): Attitude
2   6
2   6
2   7
2   1
2   7
2   7
2   6
2   7
2   1
2   7
2   1
2   7
2   6
2   6
2   5
2   6
2   7
2   7
2   7
2   6
2   6
2   6
2   6
2   6
2   6
2   6
2   7
2   6
2   7
2   7
2   7
2   7
2   7
2   6
2   6
2   7
2   6
2   1
2   7
2   7
2   7
2   6
2   6
2   1
2   7
2   6
2   7
2   6
2   7
2   6
2   6
2   7
2   6
2   7
2   6
2   7
2   1
2   6
2   6
2   1
1   6
1   6
1   7
1   7
1   7
1   6
1   7
1   7
1   7
1   6
1   1
1   1
1   1
1   6
1   7
1   7
1   7
1   6
1   7
1   7
1   7
1   6
1   7
1   6
1   1
1   7
1   5
1   6
1   7
1   6
1   7
1   6
1   5
1   7
1   1
1   7
1   6
1   7
1   7
1   7
1   6
1   7
1   7
1   7
1   7
1   1
1   5
1   6
1   1
1   7
1   5
1   6
1   7
1   6
1   7
1   6
1   6
1   7
1   7
1   6
3   7
3   1
3   6
3   6
3   6
3   1
3   6
3   1
3   7
3   6
3   1
3   1
3   6
3   7
3   6
3   1
3   6
3   1
3   6
3   6
3   6
3   1
3   6
3   6
3   1
3   7
3   1
3   7
3   1
3   7
3   1
3   6
3   1
3   1
3   6
3   6
3   7
3   1
3   6
3   1
3   6
3   7
3   1
3   6
3   6
3   1
3   1
3   1
3   6
3   6
3   7
3   1
3   7
3   6
3   1
3   1
3   1
3   1
3   6
3   1

In age categories there are three groups as mentioned as 1,2 and 3
Whereas in the attitude levels between 1 to 7, only variables 1, 5,6 and 7 are observed ,so 4 levels are only taken in the table
Counting the no. In each age groups we get the table as above.
The chisquare test is the run as under:

