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 20 40 40 100 mall 30 50 20 100 Total 50 90 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? 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?