A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 242 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related?
Vaccination Status | Diseased | Not Diseased | Total |
---|---|---|---|
Vaccinated | 48 | 91 | 139 |
Not Vaccinated | 62 | 41 | 103 |
Total | 110 | 132 | 242 |
H0: vaccination and disease status are independent
Ha: vaccination and disease status are dependent
E(n1,1)=63.2 E(n1,2)=75.8
Step 4 of 8 : Find the value of the test statistic. Round your answer to three decimal places.
Step 5 of 8: Find the degrees of freedom associated with the test statistic for this problem.
Step 6 of 8: Find the critical value of the test at the 0.01 level of significance. Round your answer to three decimal places.
Step 7 of 8: Make the decision to reject or fail to reject the null hypothesis at the 0.01 level of significance.
Step 8 of 8: State the conclusion of the hypothesis test at the 0.01 level of significance.
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