def compute_framingham_test_statistic(tbl):

test_table = tbl.select("ANYCHD", "TOTCHOL").group("ANYCHD", np.average)

diff = test_table.column(1).take(1) - test_table.column(1).take(0)

return diff

Question 5: function to simulate the test statistic under the null hypothesis.

Thesimulate_framingham_nullfunction should simulate the null hypothesis once (not 1000 times) and return the value of the test statistic for that simulated sample.

In[61]:

def simulate_framingham_null(): shuffled_frame = sim_table_frame = return compute_framingham_test_statistic(sim_table_frame)