In: Statistics and Probability
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.)
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: