The owner of a car dealership wants to determine whether there is a relation between the income level and the type of vehicle purchased in their dealership. He randomly sampled 500 car buyers and obtained the following data:

Key:

a) Income Level

b) SUV/Minivan

c) Midsize

d) Compact

a)up to $30K/yr

b) 13

c) 71

d) 106

a) $30K-$60K

b) 33

c) 76

d) 45

a) more than $60K/yr

b) 66

c) 59

d) 31

At the .05 level of significance, determine whether there is a relation between the income level and the type of vehicle purchased. Show your work step by step.