12. (15pts) A t-shirt shop places orders each month for their inventory. 10% of the shirts ordered are small, 20% are medium, 40% are large, and 30% are extra-large. The owner of the shop wants to see if the number of shirts that they sell in a month roughly matches the proportion of shirts sizes that he/she ordered. In the previous month exactly 225 shirts were sold: 25 small, 41 medium, 91 large, and 68 extra-large. a) Is there enough evidence to conclude that the true proportions of shirts sizes sold are different from the amounts ordered? Use = 0.05 (assume the month of sampled shirts constitutes a random sample of shirts).