Chi Square Test: Does vehicle type vary by mall location?

A student team examined parked cars in four different suburban shopping malls. One hundred vehicles were examined in each location. Research question: At α = .05, does vehicle type vary by mall location? (Data are from a project by MBA students Steve Bennett, Alicia Morais, Steve Olson, and Greg Corda.) Vehicles

Applied Statistics in Business and Economics by David P Doane and Lori E. Seward, McGraw Hill; 1st Edition (2006)

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Answer
The null hypothesis tested is
H0: The vehicle type does not vary by mall location.
H1: The vehicle type varies by mall location.
The test Statistic used is where O is the observed frequency and E is the expected frequency.
Rejection Criteria: Reject the null hypothesis, if the calculated value of chi square is greater than the critical value of Chi square with 12 d.f at 0.05 significance level.
The expected frequencies are given ...