Using a Contingency Table to determine Independence
Not what you're looking for?
The transportation committee for a large industrial complex wanted to study the mode of transportation used by male and female employees. The following data was obtained.
Sex Drive Alone Carpool Public Trans Total
Male 160 72.5 17.5 250
Female 160 72.5 17.5 250
Total 320 145 35 500
Using the table provided, is there a relationship between sex and mode of transportation? Formulate and test the appropriate hypothesis?
Purchase this Solution
Solution Summary
A step by step solution is provided in which we illustrate the use of a contingency table to test for independence. Construction of the contingency table with expected values and the calculation of the test statistic are illustrated with an example.
Solution Preview
A: See the attached Word Document for a cleaner solution, using Math fonts.
The Table above is called a Contingency Table. The first step to solving the problem is to calculate the expected probabilities for each cell (ex. males that drive alone, males that use a carpool, etc.). To start this off - to find the expected value of the cell for males that drive alone, we use this formula
(R1*C1)/n = (250*320)/500 = 160.
R1 = 1st row total
C1 = 1st column total
The expected value for next one - males that use carpool is
(R1*C2)/n = (250*145)/500 = 72.5.
The rest of the table of expected values looks like the following. ...
Purchase this Solution
Free BrainMass Quizzes
Know Your Statistical Concepts
Each question is a choice-summary multiple choice question that presents you with a statistical concept and then 4 numbered statements. You must decide which (if any) of the numbered statements is/are true as they relate to the statistical concept.
Measures of Central Tendency
Tests knowledge of the three main measures of central tendency, including some simple calculation questions.
Terms and Definitions for Statistics
This quiz covers basic terms and definitions of statistics.
Measures of Central Tendency
This quiz evaluates the students understanding of the measures of central tendency seen in statistics. This quiz is specifically designed to incorporate the measures of central tendency as they relate to psychological research.