please don't use programs or excel during solving this example: SHOW ALL WORK!

2. Several brands of men's suits are sold in a small boutique in New England. From a past study of customer selections, the owner knows that 20% of the customers ordered brand A, 35%, brand B, 18%, brand C, 12%, brand D, and the remainder, brand E. Now the owner, who thinks that the customer preferences have changed, randomly samples 90 customers and nds that 14 prefer A, 18 prefer B, 32 prefer C, 9 prefer E, and the remainder prefer D. Determine if the customers' preferences have changed from the last study. (Note: the data from the study are in a different order than the historical data. Match the brands)