Throughout Unit C we examined various relationships between the variables regarding houses for sale in the dataset HomesFor- Sale. One topic of repeated interest was differences between states. We previously only had the capability to test for a difference between two states at a time, but we can now test for relationships across all four states at once. Table 7.28 shows the number of big (greater than the national average of 2700 sqft) and not big houses for each of the four states. Is location associated with the proportion of big houses? Determine whether conditions are met for a chi-square test and explain your reasoning. Perform the appropriate test to see if the proportion of big houses is related to location (states).  

Table 7.28

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New California Jersey York Pennsylvania Total New 23 Big Not 6. 3 23 23 24 27 97 30 30 30 30 Total 120