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 select 100 transactions at random from each branch and researches the age information for the associated customer. These are the data:

less than 30 30-55 56 or older Total In town 25 37 38 100 mall 30 48 22 100 Total 55 85 60 200Total 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. P + HW11 Chi Square ANOVA Regression Cleaning Data with Outlier et 2 of 5 PageStyle_Chi Square English (USA) Type here to search O SC 3 :* f4 5 (6 4) (7 4)) $10 num lk f11 ( (go ) 17 - . N A V 8 9 O Q W E R T Y 14 5 U 6 O A S D F G H J 1 K 2 L (O Z X C V 0 B N M