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 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.)

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.)

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

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