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 branch and researches the age information for the associated customer.

a) What is the null hypothesis?
b) What type of test is this?
c) What are the expected numbers for each cell if the null hypothesis is true?
d) Find the x2 statistic.
e) How many degrees of freedom does it have?
f) Find the P-value.
g) What do you conclude?

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Less Than 30 20 30 50 Age 30-55 40 50 90 56 or Older Total In-Town Branch Mall Branch Total 40100 20 60 200