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				0
	mall				0
	Total	0	0	0	0
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? Provide both the statistical answer (reject or don't reject the NULL hypothesis) and also the "English" answer (are age patterns of customers independent of bank location?).