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	435	566	366	68
Nose	923	1295	789	110
Throat	242	317	158	22

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


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

The manager of an assembly process wants to determine whether or not the number of defective articles manufactured depends on the day of the week the articles are produced. She collected the following information. Is there sufficient evidence to reject the hypothesis that the number of defective articles is independent of the day of the week on which they are produced? Use α = 0.01.

Day of Week	M	Tu	W	Th	F
Nondefective	86	91	96	98	91
Defective	13	8	4	4	8

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


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

Answer 1

The statistical software output for this problem is :

Test statistics = 13.00

P-value = 0.0431

2)

Test statistics = 8.35

P-value = 0.0795