study that claimed the causes of disappearance in retail stores were 20 percent shoplifting, 55 percent employee theft, and 25 percent faulty paperwork. The manager of the Melodic Kortholt Outlet performed an audit of the disappearance of 80 items and found the frequencies shown below. She would like to know if her store's experience Follows the same pattern as other retailers. (What would be he expected value for each category if her store followed the same pattern?) Reason Frequency Shoplifting 32 Employee Theft Poor Paperwork 38 10 6. What are the null and the alternative hypothesis for this scenario? 7. Under the null hypothesis that her store follows the published pattern, the expected number of items that disappeared due to shoplifting is: 8. Using a = .01, the critical value you would use in determining whether the Melodic Kortholt's pattern differs from the published study is: 9. The value of the chi-square test statistic you would use in testing whether there is a difference from the published pattern is: 10. Give the critical value and the test statistic, should you reject, or not reject the null hypothesis, and why?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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study that claimed the causes of disappearance of inventory
in retail stores were 20 percent shoplifting, 55 percent
employee theft, and 25 percent faulty paperwork. The
manager of the Melodic Kortholt Outlet performed an audit of
the disappearance of 80 items and found the frequencies
shown below. She would like to know if her store's experience
follows the same pattern as other retailers. (What would be
the expected value for each category if her store followed the
same pattern?)
Reason
Frequency
Shoplifting Employee Theft Poor Paperwork
38
32
10
6. What are the null and the alternative hypothesis
for this scenario?
7. Under the null hypothesis that her store follows
the published pattern, the expected number of
items that disappeared due to shoplifting is:
8. Using a = .01, the critical value you would use in
determining whether the Melodic Kortholt's
pattern differs from the published study is:
9. The value of the chi-square test statistic you
would use in testing whether there is a
difference from the published pattern is:
10. Give the critical value and the test statistic,
should you reject, or not reject the null
hypothesis, and why?
Transcribed Image Text:study that claimed the causes of disappearance of inventory in retail stores were 20 percent shoplifting, 55 percent employee theft, and 25 percent faulty paperwork. The manager of the Melodic Kortholt Outlet performed an audit of the disappearance of 80 items and found the frequencies shown below. She would like to know if her store's experience follows the same pattern as other retailers. (What would be the expected value for each category if her store followed the same pattern?) Reason Frequency Shoplifting Employee Theft Poor Paperwork 38 32 10 6. What are the null and the alternative hypothesis for this scenario? 7. Under the null hypothesis that her store follows the published pattern, the expected number of items that disappeared due to shoplifting is: 8. Using a = .01, the critical value you would use in determining whether the Melodic Kortholt's pattern differs from the published study is: 9. The value of the chi-square test statistic you would use in testing whether there is a difference from the published pattern is: 10. Give the critical value and the test statistic, should you reject, or not reject the null hypothesis, and why?
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