Question

The following table is from a publication. The individuals in the following table have an eye irritation, a nose irritation, or a throat irritation. They have only one of the three. Is there sufficient evidence to reject the hypothesis that the type of ear, nose, or throat irritation is independent of the age group at a level of significance equal to 0.05?

	Age (years)
Type of Irritation	18-29	30-44	45-64	65 and Older
Eye	444	576	334	61
Nose	907	1313	792	99
Throat	230	314	155	18

(a) Find the test statistic. (Round your answer to two decimal places.)


(ii) Find the p-value. (Round your answer to four decimal places.)


(b) State the appropriate conclusion.

Reject the null hypothesis. There is not significant evidence that this sample contradicts the claim of independence. Fail to reject the null hypothesis. There is not significant evidence that this sample contradicts the claim of independence.     Reject the null hypothesis. There is significant evidence that this sample contradicts the claim of independence. Fail to reject the null hypothesis. There is significant evidence that this sample contradicts the claim of independence.

Answer 1