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, and (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 owned Male Female
Car 90 110
Truck 100 75
SUV 50 65
Van 7 3
From a given contingency table, this solution finds the expected frequencies and performs a chi-square test of independence.