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.
Here are the data:

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 critical value at α = 0.05.
g) What do you conclude?

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Age In-Town Branch Mall Branch Total Less than 30 30-55 56or Older Total 100 100 200 20 30 50 40 50 90 40 20 60