EBK BUSINESS STATISTICS
7th Edition
ISBN: 9780134462783
Author: STEPHAN
Publisher: PEARSON CUSTOM PUB.(CONSIGNMENT)
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According to the American Management Association, most U.S. companies now test at least some employees and job applicants for drug use. The U.S. National Institute on Drug Abuse claims that about 15% of people in the 18-25 age bracket use illegal drugs. Allyn Clark, a 21 year-old college graduate, applied for a job at the Acton Paper Company, took a drug test, and was not offered a job. He suspected that he might have failed the drug test, even though he does not use drugs. In checking with the company's personnel department, he found that the drug test has 99% sensitivity, which means that only 1% of drug users incorrectly test negative. Also, the test has 98% specificity, meaning that only 2% of nonusers are incorrectly identified as drug users. Allyn felt relieved by these figures because he believed that they reflected a very reliable test that usually provides good results. But is this really true?
The accompanying table shows data for Allyn and 1,999 other job applicants. Based…
Internal auditors are often used to review an organization’s financial statements, such as balance sheets, income statements, and cash flow statements, prior to public filings. Auditors seek to verify that the financial statements accurately represent the financial position of the organization and that the statements follow accepted accounting principles. Many errors that are discovered by auditors are minor errors that are easily corrected. However, some errors are serious and require substantial time to rectify. Suppose that the financial statements of 567 public companies are audited. The following table contains the number of errors discovered during the internal audit of each of 567 these public companies that were classified as “serious.”
Number of Serious
Errors (x)
Frequency
0
237
1
93
2
52
3
40
4
80
5
56
6
7
Number of Serious
Errors (x)
Frequency
Probability f(x)
0
237
1
93
2
52
3
40
4
80…
The National Center for Health Statistics, housed within the U.S. Centers for Disease Control and Prevention (CDC), tracks the number of adults in the United States who have health insurance. According to this agency, the uninsured rates for Americans in 2018 are as follows: 5.1% of those under the age of 18, 12.4% of those ages 18-64, and 1.1% of those 65and older do not have health insurance (CDC website). Approximately 22.8% of Americans are under age 18, and 61.4% of Americans are aged 18-64. Given that the person is an uninsured American, what is the probability that the person is 65 or older (to 3 decimals)?
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