The number of Canadians who visit fast-food restaurants regularly has grown steadily over the last decade. For this reason, marketing experts are interested in the demographics of fast-food customers. Is a customer's preference for a fast-food chain aected by the age of the customer? If so, advertising might need to target a particular age group. Suppose a random sample of 405 fast-food customers aged 16 and older was selected, and their favorite fast-food restaurants along with their age groups were recorded, as shown in the table: Age Group McDonald's Burger King Wendy's Other 16- 21) 27 [21 - 30) 71 34 15 [30 - 49) 4 4'2 22 49+ 1 (a) The data in the table should be deemed as as the observed count. Create another table with the corresponding expected counts having row totals, column totals, and grand total. Round each cell value to two decimal places. [b] Perform a chi-square test to asses the association (or independence} between customer's fast food preference and age specifying hypotheses, detailed calculation of test statistic, critical value (or pvalue). Use a = 0.05 (c) Verify the assumptions required for the chi-square test of independence