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With double-digit annual percentage increases in the cost of health insurance, more and more workers are likely to lack health insurance coverage (USA Today, January 23, 2004). The following sample data provide a comparison of workers with and without health insurance coverage for small, medium, and large companies. For the purposes of this study, small companies are companies that have fewer than 100 employees. Medium companies have 100 to 999 employees, and large companies have 1000 or more employees. Sample data are reported for 50 employees of small companies, 75 employees of medium companies, and 100 employees of large companies. Health Insurance Size of Company Yes No Small 34 16 Medium 69 6 Large 86 14 a. Conduct a test of independence to determine whether employee health insurance coverage is independent of the size of the company. Use a - .05. Use Table 12.4. Compute the value of the X2 test statistic (to 2 decimals). The p value is Select What is your conclusion? Select b. The USA Today article indicated employees of small companies are more likely to lack health insurance coverage. Calculate the percentages of employees without health insurance based on company size (to the nearest whole number). Small Medium Large % Total 50 75 100 % % Based on the percentages calculated above, what can you conclude? Select

With double-digit annual percentage increases in the cost of health insurance, more and more workers are likely to lack health insurance coverage (USA Today, January 23, 2004). The following sample data provide a comparison of workers with and without health insurance coverage for small, medium, and large companies. For the purposes of this study, small companies are companies that have fewer than 100 employees. Medium companies have 100 to 999 employees, and large companies have 1000 or more employees. Sample data are reported for 50 employees of small companies, 75 employees of medium companies, and 100 employees of large companies. Health Insurance Size of Company Yes No Small 34 16 Medium 69 6 Large 86 14 a. Conduct a test of independence to determine whether employee health insurance coverage is independent of the size of the company. Use a - .05. Use Table 12.4. Compute the value of the X2 test statistic (to 2 decimals). The p value is Select What is your conclusion? Select b. The USA Today article indicated employees of small companies are more likely to lack health insurance coverage. Calculate the percentages of employees without health insurance based on company size (to the nearest whole number). Small Medium Large % Total 50 75 100 % % Based on the percentages calculated above, what can you conclude? Select

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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With double-digit annual percentage increases in the cost of health insurance, more and more workers are likely to lack health insurance coverage (USA Today, January 23, 2004). The following sample data provide a comparison of workers with and without health insurance coverage for small, medium, and large companies. For the purposes of this study, small companies are companies that have fewer than 100 employees. Medium companies have 100 to 999 employees, and large companies have 1000 or more employees. Sample data are reported for 50 employees of small companies, 75 employees of medium companies, and 100 employees of large companies. Health Insurance Size of Company Yes No Small 34 16 Medium 69 6 Large 86 14 a. Conduct a test of independence to determine whether employee health insurance coverage is independent of the size of the company. Use a - .05. Use Table 12.4. Compute the value of the X2 test statistic (to 2 decimals). The p value is Select What is your conclusion? Select b. The USA Today article indicated employees of small companies are more likely to lack health insurance coverage. Calculate the percentages of employees without health insurance based on company size (to the nearest whole number). Small Medium Large % Total 50 75 100 % % Based on the percentages calculated above, what can you conclude? Select X A-Z 16
Transcribed Image Text:With double-digit annual percentage increases in the cost of health insurance, more and more workers are likely to lack health insurance coverage (USA Today, January 23, 2004). The following sample data provide a comparison of workers with and without health insurance coverage for small, medium, and large companies. For the purposes of this study, small companies are companies that have fewer than 100 employees. Medium companies have 100 to 999 employees, and large companies have 1000 or more employees. Sample data are reported for 50 employees of small companies, 75 employees of medium companies, and 100 employees of large companies. Health Insurance Size of Company Yes No Small 34 16 Medium 69 6 Large 86 14 a. Conduct a test of independence to determine whether employee health insurance coverage is independent of the size of the company. Use a - .05. Use Table 12.4. Compute the value of the X2 test statistic (to 2 decimals). The p value is Select What is your conclusion? Select b. The USA Today article indicated employees of small companies are more likely to lack health insurance coverage. Calculate the percentages of employees without health insurance based on company size (to the nearest whole number). Small Medium Large % Total 50 75 100 % % Based on the percentages calculated above, what can you conclude? Select X A-Z 16
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