Question

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 = 0.05.

Day of Week	M	Tu	W	Th	F
Nondefective	86	86	95	90	91
Defective	6	14	14	10	12

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


(ii) Find the p-value. (Give your answer bounds exactly.)
_____< p <_____
(b) State the appropriate conclusion.

Reject the null hypothesis, there is significant evidence that the number of defective articles is not independent to day of the week. Fail to reject the null hypothesis, there is not significant evidence that the number of defective articles is not independent to day of the week.     Reject the null hypothesis, there is not significant evidence that the number of defective articles is not independent to day of the week. Fail to reject the null hypothesis, there is significant evidence that the number of defective articles is not independent to day of the week.

You may need to use the appropriate table in Appendix B to answer this question.

Answer 1