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Using a Chi Square Test: Types of Vehicles

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Question: Use the given contingency table to

(a) Find the expected frequencies of each cell in the table.
(b) Perform a chi-square test for independence.
(c) Comment on the relationship between the two variables. Assume the variables are independent.

The contingency table shows the results of a random sample of 500 individuals classified by gender and type of vehicle owned. Use alpha = 0.01.

Type of Vehicle Used
Gender.....Car......Truck.....SUV.....Van
Male ..........90........100........50........7
Female.....110.........75.........65....... 3

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Type of Vehicle Used
Gender Car Truck SUV Van
Male 90 100 50 7
Female 110 75 65 3

Use the given contingency table to
(a) Find the expected frequencies of each cell in the table,

First, you want to calculate all of the row and column totals (in bold in the table below):

Type of Vehicle Used
Gender Car Truck SUV Van Total
Male 90 100 50 7 247
Female 110 75 65 3 253
Total 200 175 115 10 500

Then, you want to find the expected frequency for each cell (this is the number that would be expected for each category if there were no relationship between gender and the type of vehicle used).

You do this by, for every cell in the table, multiplying the row total by the column ...

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