Question

A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 282 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related?

Vaccination Status   Diseased   Not Diseased   Total
Vaccinated 54 124 178
Not Vaccinated 71 33 104
Total 125 157 282

Step 1 of 8:

State the null and alternative hypothesis.

Step 2 of 8:

Find the expected value for the number of subjects who are vaccinated and are diseased. Round your answer to one decimal place.

Step 3 of 8:

Find the expected value for the number of subjects who are vaccinated and are not diseased. Round your answer to one decimal place.

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 0.025 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 0.025 level of significance.

Step 8 of 8:

State the conclusion of the hypothesis test at the 0.025 level of significance.

Answer 1