A new vaccination is being used in a laboratory experiment to investigate whether it is effective. There are 333 subjects in the study. Is there sufficient evidence to determine if vaccination and disease status are related?

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 not 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 0.10.1 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 0.10.1 level of significance.

Step 8 of 8:

State the conclusion of the hypothesis test at the 0.10.1 level of significance.

Vaccination Status	Diseased	Not Diseased	Total
Vaccinated	65	37	102
Not Vaccinated	86	145	231
Total	151	182	333