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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 the branch located near the mall. He selects 100 transactions at random from each bank and researches the age information for the associated customers.

less than 30 30-55 56 or older Total
in town branch 20 42 38 100
mall branch 30 48 22 100
Total 50 90 60 200

a. what are the null and alternative hypothesis ?

b. what type of test is this chi square goodness of fit chi square test of homogeneity chi-square test of indendence ?"