23. 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 in- surance 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 compa- nies, and 100 employees of large companies.

Health Insurance Size of Company Yes No Total Small Medium 36 14 50 65 10 75 Large 88 12 100

a. Conduct a test of independence to determine whether employee health insurance cov- erage is independent of the size of the company. Use a = .05. What is the p-value, and what is your conclusion?

b. The USA Today article indicated employees of small companies are more likely to lack health insurance coverage. Use percentages based on the preceding data to support this conclusion.