You are conducting a test of independence to see if getting the flu is independent of whether or not you got a flu shot. Use $\displaystyle \alpha$  = 0.05. Report all answers accurate to four decimal places.

Here is the sample data.

Category	Got the Flu	Did not get the Flu
Got Flu Shot	47	39
Did not get Flu Shot	32	14

The expected observations for this table would be:

Category	Got the Flu	Did not get the Flu
Got Flu Shot
Did not get Flu Shot

The resulting $\displaystyle {\frac{{{\left({O}-{E}\right)}^{{2}}}}{{{E}}}}$ for finding the test are:

Category	Got the Flu	Did not get the Flu
Got Flu Shot
Did not get Flu Shot

What is the chi-square test-statistic for this data? (add the results from the previous table)
$\displaystyle \chi^{{2}}=$


What is the p-value for this test-statistic?
P-Value =


Can you conlude (at the 0.05 significance level) that getting the flu is independent of whether or not you got the flu shot?