Question

In: Statistics and Probability

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 448 573 355 52
Nose 931 1302 771 92
Throat 270 294 175 15

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


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

Solutions

Expert Solution

Solution:

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

Answer:

Explanation:

The observed counts are given:

Age (years)
Type of Irritation 18-29 30-44 45-64 65 and Older Total
Eye 448 573 355 52 1428
Nose 931 1302 771 92 3096
Throat 270 294 175 15 754
Total 1649 2169 1301 159 5278

The expected counts can be calculated as:

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

Answer:


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