chi_square_example_01_p05.py

"""
    Calculate the "expected" table:
    "Expected" table can be calculated using below formula:
        total_rows x total_columns / total_observations
    And these factors can be get by:
        - total_rows = voter_tab["row_totals"]
        - total_columns = voter_tab["col_totals"]
        - total_observations = 1000
    Please note that the "loc" function in below code is used to switch the
        index base on column name to row name
"""
expected =  np.outer(voter_tab["row_totals"][0:5],
                     voter_tab.loc["col_totals"][0:3]) / 1000