In: Statistics and Probability
A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 246246 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related?
Vaccination Status | Diseased | Not Diseased | Total |
---|---|---|---|
Vaccinated | 60 | 55 | 115 |
Not Vaccinated | 70 | 61 | 131 |
Total | 130 | 116 | 246 |
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Question: A new vaccination is being used in a laboratory experiment to investigate whether it is effective...
A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 246246 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related?
Vaccination Status | Diseased | Not Diseased | Total |
---|---|---|---|
Vaccinated | 60 | 55 | 115 |
Not Vaccinated | 70 | 61 | 131 |
Total | 130 | 116 | 246 |
A. State the null and alternate hypothesis.
B. Find the expected value for the number of subjects who are
vaccinated and are diseased.
C. Find the expected value for the number of subjects who are not
vaccinated and are not diseased.
D. Find the value of the test statistic.
E. Find the critical value of the test at the 0.01 level of
significance.
F. Make the decision to reject or fail to reject the null
hypothesis at the 0.01 level of significance.
G. State the conclusion of the hypothesis test at the 0.01 level of
significance.