A brand manager conducted a survey. He divided the whole country into four regions and took a random sample of 100 consumers from each region and asked the customers if they purchase the brand. The results are shown below: Region Purchase the Brand m Yes 40 55 45 50 1% No 60 45 55 50 210 Column Total 100 100 100 1m 40) Use a 2'2 test at the 5% level of signicance to determine whether Purchase the Brand and Region are related. The following table can be used: a degree offreedom (df) Xza 0.1 3 6.251 DIE 3 7.315 0.01 3 1.345 State the null and alternative hypotheses. (1 Mark) Calculate expected values. (3 Marks) Calculate the test statistics. (4 Marks) State the rule of decision. (1 Mark) State the conclusion. (1 Mark) 509-957!\