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?
		H0: 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	27.5	42.5	30	100
		mall	27.5	42.5	30	100
		Total	55	85	60	200
	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?