Question

it 8 Assignments Saved Help 2 The chief of security for the Mall of the Dakotas directed a study of theft. He selected a sample of 100 boxes that had been tampered with and ascertained that, for 60 of the boxes, the missing pants, shoes, and so on were attributed to shoplifting. For 30 boxes, employees had stolen the goods, and for the remaining 10 boxes, he blamed poor inventory control. In his report to the mall management, can he say that shoplifting is twice as likely to be the cause of the loss as compared with either employee theft or poor inventory control and that employee theft and poor inventory control are equally likely? Use the 0.02 significance level. Hy: The proportions are as stated. Hy: The proportions are not as stated. State the decision rule using 0.02 significance level (Round your answer to 3 decimal places.) nts eBook Reject HD if chi-square > Print References Compute the value of chi-square. (Round your answer to 3 decimal places.) Chi-square value What is your decision regarding Ho? HO. There is evidence to conclude that the proportions are not as stated

Answer 1

Solution : Chi-square critical value!- Xooz.df X.02.2 7.8240 az Reject Hol it Chi-square 7,1 7.8240 Expected Observed Expected haution b) 60 50 2. 0.5 30 25 0.25 0.25 25 9 ² 12. At x² = 12; Reject Ho Af=2, P= 0.002 There is Tenough proportion evidence to conclude as stooted that the a oe not