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Use the following for questions 18 to 21: A common way to evaluate employees wor

ID: 2935425 • Letter: U

Question

Use the following for questions 18 to 21: A common way to evaluate employees working in a factory is their "defect rate", meaning the number of defective pieces per 1000 parts produced. A company takes a random sample of 100 workers and records their years of experience (categorized as: 1, 2-5, or 6-10) and their defect rate (high, medium, or low). The resulting data is shown in the table below. Years of Experience 6-10 Total high 6 24 51 9 9 Defect medium 9 1923 Ratew 7 810 low Total 22 36 42 100 18. Which test would we use to determine if there evidence of a relationship between defect rate and years of experience? Test of homogeneity Test of independence c. Test of goodness of ft d. ANOVA Page 6 of 10 Version A

Explanation / Answer

18) The chi-square (2) test of independence is used to test for a statistically significant relationship between two categorical variables.

Test of independence

19) degree of freedom = (rows -1)*(columns-1) = (3-1)(3-1) = 4

b. 4 as it gives a p-value of 0.41 which is close to 0.5

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