5. Flu Vaccine: The Center for Disease Control (CDC) claims thatthe flu vaccine is effective in reducing the probability of gettingthe flu. They conduct a trial on 2000 people. The results aresummarized in the contingency table below. Observed Frequencies:Oi's Got No Vaccine Vaccine Totals Got Flu 21 18 39 No Flu 1379 5821961 Totals 1400 600 2000 The Test: Test for a dependentrelationship between getting the vaccine and getting the flu.Conduct this test at the 0.01 significance level. (a) What is thenull hypothesis for this test? H0: Getting the flu vaccine andgetting the flu are independent variables. H0: Getting the fluvaccine helps prevent the flu. H0: Getting the flu vaccine andgetting the flu are dependent variables. (b) What is the value ofthe test statistic? Round to 3 decimal places unless your softwareautomatically rounds to 2 decimal places. χ2 = (c) Use software toget the P-value of the test statistic. Round to 4 decimal placesunless your software automatically rounds to 3 decimal places.P-value = (d) What is the conclusion regarding the null hypothesis?reject H0 fail to reject H0 (e) Choose the appropriate concludingstatement. 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 toconclude that getting the flu vaccine and getting the flu aredependent variables.
