# S O C 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. Is there any association between support for raising fees and the gender, discipline, or tenured status of the faculty? Use column percentages, the maximum difference, and an appropriate measure of association to describe the strength and pattern of these associations. a. Support for raising fees by gender Support? Gender Males Females Totals For 12 7 19 Against Totals 15 27 13 20 28 47 b. Support for raising fees by discipline Support? Discipline Liberal Arts Science and Business Totals For 6 13 19 Against Totals 14 20 14 27 28 47 c . Support for raising fees by tenured status Support? Status Tenured Nontenured Totals For 15 4 19 Against Totals 18 33 10 14 28 47

### Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836

Chapter
Section

### Essentials Of Statistics

4th Edition
HEALEY + 1 other
Publisher: Cengage Learning,
ISBN: 9781305093836
Chapter 11, Problem 11.1P
Textbook Problem
18 views

## S O C 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. Is there any association between support for raising fees and the gender, discipline, or tenured status of the faculty? Use column percentages, the maximum difference, and an appropriate measure of association to describe the strength and pattern of these associations.a. Support for raising fees by gender Support? Gender Males Females Totals For 12 7 19 AgainstTotals 15 27 13 20 28 47 b. Support for raising fees by discipline Support? Discipline Liberal Arts Science and Business Totals For 6 13 19 AgainstTotals 14 20 14 27 28 47 c. Support for raising fees by tenured status Support? Status Tenured Nontenured Totals For 15 4 19 AgainstTotals 18 33 10 14 28 47

To determine

(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.

### Explanation of Solution

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,

1227×100=44.44%

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,

44.4435=9.44%

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,

6555.56=9.44%

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.

To determine

(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.

### Explanation of Solution

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,

620×100=30%

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,

48.1530=18.15%

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,

7051.85=18.15%

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.

To determine

(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.

### Explanation of Solution

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,

1533×100=45.45%

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,

45.4528.57=16.88%

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,

71.4354.55=16.88%

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.

#### The Solution to Your Study Problems

Bartleby provides explanations to thousands of textbook problems written by our experts, many with advanced degrees!

Get Started

Find more solutions based on key concepts
Convert the expressions in Exercises 8596 radical form. 45x3/2

Finite Mathematics and Applied Calculus (MindTap Course List)

Rationalizing Rationalize the denominator and simplify. 51. 111

Precalculus: Mathematics for Calculus (Standalone Book)

Fill in the blanks. 6. The statement limxa f(x) = L means that the values of __________ can be made as close to...

Applied Calculus for the Managerial, Life, and Social Sciences: A Brief Approach

Perform the indicated operation for the following. 421876

Contemporary Mathematics for Business & Consumers

For y = x3 ln x, y = a) x2(1 + 3 ln x) b) x3 + 3x2 (ln x) c) 3x d) 4x2(ln x)

Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 8th

Identify and describe the content of each section of an APA-style research report.

Research Methods for the Behavioral Sciences (MindTap Course List)

TEST YOUR UNDERSTADING FOR EXAMPLE 3.5 A donation to the university is required for the privilege of purchasing...

Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)

In this section we used a two-step procedure to select a simple random sample of 30 EAI employees. Use this pro...

Modern Business Statistics with Microsoft Office Excel (with XLSTAT Education Edition Printed Access Card) (MindTap Course List)

In Problems 35-64 solve the given differential equation by undetermined coefficients. 45. y 2y 3y = 4ex 9

A First Course in Differential Equations with Modeling Applications (MindTap Course List)