You are conducting a test of independence to see if getting the flu is independent of whether or not you got a flu shot. Here is the sample data. Category Got the Flu Did not get the Flu Got Flu Shot 30 40 Did not get Flu Shot 33 38 1) 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 (O-E)^2/E for finding the test are: Category Got the Flu Did not get the Flu Got Flu Shot     Did not get Flu Shot     2) What is the chi-square test-statistic for this data? (add the results from the previous table) x^2=  What is the P-Value for this test-statistic? P-Value =  3) Can you conlude (at the 0.05 significance level) that getting the flu is independent of whether or not you got the flu shot? Yes independent: getting the flu is independent of if you got the flu shot. No not independent: getting the flu is dependent on if you got the flu shot.

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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You are conducting a test of independence to see if getting the flu is independent of whether or not you got a flu shot.

Here is the sample data.

Category Got the Flu Did not get the Flu
Got Flu Shot 30 40
Did not get Flu Shot 33 38



1) 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 (O-E)^2/E for finding the test are:

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



2) What is the chi-square test-statistic for this data? (add the results from the previous table)
x^2= 



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



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

  • Yes independent: getting the flu is independent of if you got the flu shot.
  • No not independent: getting the flu is dependent on if you got the flu shot.
Expert Solution
Step 1

Given dataset is:

Category got the flu did not get the flu
get flu shot 30 40
did not get the flu shot 33 38
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