Question

The following table is from a publication. The individuals in the following table have an eye...

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.

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