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An analyst at a local bank wonders if the age distribution of customers coming for service at his branch in town is the same as at a branch located near the mall. He selects 100 transactions at random from each branch and researches the age information for the associated customer. These are the data : Age less than 30 30-55 56 or older Total In town 25 37 38 100 mall 30 48 22 100 Total 55 85 60 200 1 What is the null hypothesis if you want to check if the age patterns of customers are independent of bank location? 2 What are the expected numbers for each cell in a 3 by 3 table if the null hypothesis is true? Age less than 30 30-55 56 or older Total In town mall Total 3 Use the chi square test to accept or reject the null hypothesis. What is the chi square test statistic? 4 What is the chi square critical value and how many degrees of freedom does it have? Assume alpha is .05. 5 What do you conclude