Here's one approach. . . You need to choose the dimension of culture that interests you. This dimension of culture needs to be specific enough for you to measure it. For example, if you're defining culture as beliefs that are more or less held to be true in a group, you'd need to choose one belief (e.g., "those who work hard get paid more.") and measure it (the degree to which the average person believes it is true) in each culture that you are studying.
I think you would have to read a bit about the cultures of both the states. I am sure you would find difference on at least one of the dimensions of hofstede conceptualization. you may then choose a scale as per your population to measure that dimension of culture.
According to trompennars, universalism versus particularism....individualism versus communitarianism ....specific versus diffuse....neutral versus emotional are dimensions