Question

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 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 0.1 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 0.1 level of significance

Step 8 of 8: State the conclusion of the hypothesis test at the 0.1 level of significance.

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

Answer 1

		Diseased	Not Diseased	Total
Vaccinated	Observed	65	37	102
	Expected	46.25	55.75	102.00
Not Vaccinated	Observed	86	145	231
	Expected	104.75	126.25	231.00
Total	Observed	151	182	333
	Expected	151.00	182.00	333.00
		20.04	chi-square
		1	df
		0.000008	p-value

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.

126.3

Step 4 of 8: Find the value of the test statistic. Round your answer to three decimal places

Test Statistic= 20.043

Step 5 of 8: Find the degrees of freedom associated with the test statistic for this problem

Degree of freedom= 1

Step 6 of 8: Find the critical value of the test at the 0.1 level of significance. Round your answer to three decimal places.

Critical Value=2.706

Step 7 of 8: Make the decision to reject or fail to reject the null hypothesis at the 0.1 level of significance

Reject the null hypothesis

Step 8 of 8: State the conclusion of the hypothesis test at the 0.1 level of significance.

There is significant evidence to conclude that the vaccination and disease are related.