a. Support for raising fees by gender
Support?  Gender  
Males  Females  Totals  
For  12  7  19 
Against Totals 



b. Support for raising fees by discipline
Support?  Discipline  
Liberal Arts  Science and Business  Totals  
For  6  13  19 
Against Totals 



c. Support for raising fees by tenured status
Support?  Status  
Tenured  Nontenured  Totals  
For  15  4  19 
Against Totals 



(a)
To find:
The column percentages and maximum difference.
Solution:
The column percentage table of the given data is,
Support?  Gender  
Males  Females  
For  44.44%  35% 
Against  55.56%  65% 
Totals  100%  100% 
The maximum difference is 9.44%.
The strength of association is weak.
In the column table, high percentage of one variable is associated with low percentage of another variable, therefore there is a positive association between the variables.
Given:
The given statement is,
The administration of a local college campus wants to increase the mandatory student fee to finance an upgrading of the football program. A survey of a sample of faculty regarding this proposal has been completed.
The given table of information is,
Support?  Gender  
Males  Females  Totals  
For  12  7  19 
Against  15  13  38 
Totals  27  20  47 
Approach:
If the maximum difference of the smallest and the largest column percentage in a row is less than 10%, it is said that there is a weak association between the categories.
If the maximum difference is between 10% and 30%, it is said that there is a moderate association between the categories and if the maximum difference is above 30%, then there is a high association between the categories.
Calculation:
From the given information,
The following table gives the column wise percentages based on gender.
Support?  Gender  
Males  Females  
For  44.44%  35% 
Against  55.56%  65% 
Totals  100%  100% 
The columns of the table are computed as,
Substitute the values from the given table of information,
Proceed in a similar manner to obtain rest of the values of the table.
For the first row,
The maximum percentage is 44.44%.
The minimum percentage is 35%.
The difference is given as,
The difference for the first row is 9.44%.
For the second row,
The maximum percentage is 65%.
The minimum percentage is 55.56%.
The difference is given as,
The difference for the second row is 9.44%.
The maximum difference is 9.44%.
Since, 9.44% is less than 10%, it shows that the strength of association is weak.
In the column table, high percentage of one variable is associated with low percentage of another variable, therefore there is a positive association between the variables.
Conclusion:
The column percentage table of the given data is,
Support?  Gender  
Males  Females  
For  44.44%  35% 
Against  55.56%  65% 
Totals  100%  100% 
The maximum difference is 9.44%.
The strength of association is weak.
In the column table, high percentage of one variable is associated with low percentage of another variable, therefore there is a positive association between the variables.
(b)
To find:
The column percentages and maximum difference.
Solution:
The column percentage table of the given data is,
Support?  Discipline  
Liberal Arts  Science and Business  
For  30%  48.15% 
Against  70%  51.85% 
Totals  100%  100% 
The maximum difference is 18.15%.
The strength of association is moderate.
In the column table, high percentage of one variable is associated with low percentage of another variable, therefore there is a positive association between the variables.
Given:
The given statement is,
The administration of a local college campus wants to increase the mandatory student fee to finance an upgrading of the football program. A survey of a sample of faculty regarding this proposal has been completed.
The given table of information is,
Support?  Discipline  
Liberal Arts  Science and Business  Totals  
For  6  13  19 
Against  14  14  38 
Totals  20  27  47 
Approach:
If the maximum difference of the smallest and the largest column percentage in a row is less than 10%, it is said that there is a weak association between the categories.
If the maximum difference is between 10% and 30%, it is said that there is a moderate association between the categories and if the maximum difference is above 30%, then there is a high association between the categories.
Calculation:
From the given information,
The following table gives the column wise percentages based on discipline.
Support?  Discipline  
Liberal Arts  Science and Business  
For  30%  48.15% 
Against  70%  51.85% 
Totals  100%  100% 
The columns of the table are computed as,
Substitute the values from the given table of information,
Proceed in a similar manner to obtain rest of the values of the table.
For the first row,
The maximum percentage is 48.15%.
The minimum percentage is 30%.
The difference is given as,
The difference for the first row is 18.15%.
For the second row,
The maximum percentage is 70%.
The minimum percentage is 51.85%.
The difference is given as,
The difference for the second row is 18.15%.
The maximum difference is 18.15%.
Since, 18.15% is between 10% and 30%, it shows that the strength of association is moderate
In the column table, high percentage of one variable is associated with low percentage of another variable, therefore there is a positive association between the variables.
Conclusion:
The column percentage table of the given data is,
Support?  Discipline  
Liberal Arts  Science and Business  
For  30%  48.15% 
Against  70%  51.85% 
Totals  100%  100% 
The maximum difference is 18.15%.
The strength of association is moderate.
In the column table, high percentage of one variable is associated with low percentage of another variable, therefore there is a positive association between the variables.
(c)
To find:
The column percentages and maximum difference.
Solution:
The column percentage table of the given data is,
Support?  Discipline  
Tenured  Nontenured  
For  45.45%  28.57% 
Against  54.55%  71.43% 
Totals  100%  100% 
The maximum difference is 16.88%.
The strength of association is moderate.
In the column table, high percentage of one variable is associated with low percentage of another variable, therefore there is a positive association between the variables.
Given:
The given statement is,
The administration of a local college campus wants to increase the mandatory student fee to finance an upgrading of the football program. A survey of a sample of faculty regarding this proposal has been completed.
The given table of information is,
Support?  Status  
Tenured  Nontenured  Totals  
For  15  4  19 
Against  18  10  38 
Totals  33  14  47 
Approach:
If the maximum difference of the smallest and the largest column percentage in a row is less than 10%, it is said that there is a weak association between the categories.
If the maximum difference is between 10% and 30%, it is said that there is a moderate association between the categories and if the maximum difference is above 30%, then there is a high association between the categories.
Calculation:
From the given information,
The following table gives the column wise percentages based on tenured status.
Support?  Status  
Tenured  Nontenured  
For  45.45%  28.57% 
Against  54.55%  71.43% 
Totals  100%  100% 
The columns of the table are computed as,
Substitute the values from the given table of information,
Proceed in a similar manner to obtain rest of the values of the table.
For the first row,
The maximum percentage is 45.45%.
The minimum percentage is 28.57%.
The difference is given as,
The difference for the first row is 16.88%.
For the second row,
The maximum percentage is 71.43%.
The minimum percentage is 54.55%.
The difference is given as,
The difference for the second row is 16.88%.
The maximum difference is 16.88%.
Since, 16.88% is between 10% and 30%, it shows that the strength of association is moderate
In the column table, high percentage of one variable is associated with low percentage of another variable, therefore there is a positive association between the variables.
Conclusion:
The column percentage table of the given data is,
Support?  Discipline  
Tenured  Nontenured  
For  45.45%  28.57% 
Against  54.55%  71.43% 
Totals  100%  100% 
The maximum difference is 16.88%.
The strength of association is moderate.
In the column table, high percentage of one variable is associated with low percentage of another variable, therefore there is a positive association between the variables.
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