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Flu Vaccine: The Center for Disease Control(CDC) claims that the flu vaccine is effective in reducing theprobability of getting the flu. They conduct a trial on 3000people. The results are summarized in the contingency tablebelow.

Observed Frequencies:O_i's

	Got	No
	Vaccine	Vaccine	Totals
Got Flu	36	27	63
No Flu	2064	873	2937
Totals	2100	900	3000

The Test: Test for a dependent relationshipbetween getting the vaccine and getting the flu. Conduct this testat the 0.01 significance level.

(a) What is the null hypothesis for this test?

H₀: Getting the flu vaccine and getting theflu are independent variables.

H₀: Getting the flu vaccine helps preventthe flu.     

H₀: Getting the flu vaccine and getting theflu are dependent variables.

(b) What is the value of the test statistic? Round to 3decimal places unless your software automatically rounds to 2decimal places.

?<sup>2= ?

(c) Use software to get the P-value of the test statistic.Round to 4 decimal places unless your softwareautomatically rounds to 3 decimal places.
P-value = ?

(d) What is the conclusion regarding the null hypothesis?</sup>

reject H₀

fail to rejectH₀    

(e) Choose the appropriate concluding statement.

We have proven that getting the flu vaccine prevents theflu.

The evidence suggests that getting the flu vaccine and gettingthe flu are dependent variables.    

There is not enough evidence to conclude that getting the fluvaccine and getting the flu are dependent variables.