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 = 0.01.

Day of Week	M	Tu	W	Th	F
Nondefective	88	94	97	98	91
Defective	12	6	3	4	9

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


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


(b) State the appropriate conclusion.

Fail to 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 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

Answer 1

The statistical software output for this problem is :

Test statistics = 8.78

P-value = 0.0670

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.