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# Health insurance benefits vary by the size of the company

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Health insurance benefits vary by the size of the company (the Henry J. Kaiser Family Foundation website, June 23, 2016). The sample data below show the number of companies providing health insurance for small, medium, and large companies. For the purposes of this study, small companies are companies that have fewer than 100 employees. Medium-sized companies have 100 to 999 employees, and large companies have 1000 or more employees. The questionnaire sent to 225 employees asked whether or not the employee had health insurance and then asked the enployee to indicate the size of the company Size of Company Small Mediumm Large Health Insurance Yes 40 68 90 No Total 50 75 100 10 10

a. Conduct a test of independence to determine whether health insurance coverage is independent of the size of the company. What is the p-value? Compute the value of the test statistic (to 2 decimals). The p-value is l-select your answer- Using a-.05 level of significance, what is your conclusion? Select your answer

b. A newspaper 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 Mediumm Large Based on the percentages calculated above, what can you conclude?

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## [Solved] Health insurance benefits vary by the size of the company

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