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?
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. ...
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.