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CT 1 b = 500 W = 4000 CT 2 b2 = 1000 W2= 3000 CT3 b3 = 1500 W3= 2000 CT 4 b4 = 2000 W4= 1000 1. Assume a town consists of 4 census tracts given above. The distribution of blacks (b) and whites (w) for 4 census tracts follows the above distribution. a. Calculate the dissimilarity index, DS b. Calculate the exposure index for blacks to whites, Ebw C. Calculate the exposure index for whites to blacks, Ewb CT 1 b1 = 500 W1= 2000 CT2 b2 = 1000 W2= 1500 CT 3 b3 = 1500 W3= 1000 CT 4 b4 = = 2000 W4= 500 2. Now assume the town loses only white residents, with them falling by half in all districts, so that the distribution of black and whites for 4 census tracts follows the above distribution. a. Do any of the indices in question 1 change? If so, which ones and how? b. Because of the falling population levels, the Census Bureau redraws the map to merge CT 4 into CT 2 (in the second set of boxes, so that there are only 3 census tracts. How does the dissimilarity index change? Do you think this reflects a change in segregation? CT 1 b = 500 W = 4000 CT 2 b2 = 1000 W2= 3000 CT3 b3 = 1500 W3= 2000 CT 4 b4 = 2000 W4= 1000 1. Assume a town consists of 4 census tracts given above. The distribution of blacks (b) and whites (w) for 4 census tracts follows the above distribution. a. Calculate the dissimilarity index, DS b. Calculate the exposure index for blacks to whites, Ebw C. Calculate the exposure index for whites to blacks, Ewb CT 1 b1 = 500 W1= 2000 CT2 b2 = 1000 W2= 1500 CT 3 b3 = 1500 W3= 1000 CT 4 b4 = = 2000 W4= 500 2. Now assume the town loses only white residents, with them falling by half in all districts, so that the distribution of black and whites for 4 census tracts follows the above distribution. a. Do any of the indices in question 1 change? If so, which ones and how? b. Because of the falling population levels, the Census Bureau redraws the map to merge CT 4 into CT 2 (in the second set of boxes, so that there are only 3 census tracts. How does the dissimilarity index change? Do you think this reflects a change in segregation