The chief of security for the Mall of the Dakotas directed a study of theft. He selected a sample of 200 boxes that had been tampered with and ascertained that, for 105 of the boxes, the missing pants, shoes, and so on were attributed to shoplifting. For 40 boxes, employees had stolen the goods, and for the remaining 55 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 0.10 significance level. He: The proportions are as stated. H: The proportions are not as stated. State the decision rule using 010 significance level. (Round your answer to 3 decimal places.) Reject HO if chi-square > 4.605 Compute the value of chi-square. (Round your answer to 3 decimal places.) Chi-square value

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The chief of security for the Mall of the Dakotas directed a study of theft. He selected a sample of 200 boxes that had been tampered with and ascertained that, for 105 of the boxes, the missing pants, shoes, and so on were
attributed to shoplifting. For 40 boxes, employees had stolen the goods, and for the remaining 55 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 0.10 significance level.
Hg: The proportions are as stated.
H: The proportions are not as stated.
State the decision rule using 0.10 significance level. (Round your answer to 3 decimal places.)
Reject H0 if chi-square >
4.605
Compute the value of chi-square. (Round your answer to 3 decimal places.)
Chi-square value
Transcribed Image Text:The chief of security for the Mall of the Dakotas directed a study of theft. He selected a sample of 200 boxes that had been tampered with and ascertained that, for 105 of the boxes, the missing pants, shoes, and so on were attributed to shoplifting. For 40 boxes, employees had stolen the goods, and for the remaining 55 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 0.10 significance level. Hg: The proportions are as stated. H: The proportions are not as stated. State the decision rule using 0.10 significance level. (Round your answer to 3 decimal places.) Reject H0 if chi-square > 4.605 Compute the value of chi-square. (Round your answer to 3 decimal places.) Chi-square value
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