You may need to use the appropnate technolegy to answer this question. Health insurance benefits vary by the size of the compamy. The sample data below show the number of companies providing heath insurance for small, medium, and large companies. For purposes of this study, small companies are companies that hawe fewer than 100 employees. Medlum-sized companies have 100 to 599 employees, and large campanies have 1,000 or more employees. The questionnaire sent to 225 employees asked whether or not the employee had healeh insurance and then asked the employee to indicate the size of the company. (a) Perform a text of independence to determine if health insurance coverage is reiated to the size of the company. State the null and atternative hypokheses. H0 : Having health insurance is independent of the size of the company; Hat Having health insurance is not independent of the size of the company. Hei tiaving health insurance is not independent of the size of the company. Ha: Having heaith insurance is independent of the size of the company. H0 : Having thealth insurance is not indepepdent of the size of the company. He. The proportion of companies with health insurance benefits is not equal for smail, medium and large companies: H0 : Maving heaith insurance is independent of the size of the company. Ha : The proportion of companies with health insurance benefits is equal for small, medium and large componies. Compute the expected frequency for the event that a Smal Compamy has health insurance. Assume that the value of the test statistic was computed to be 6.09217. What is the corresponding -value? (Round your answer to four decimat places.) H0 t Having heaith insurance is independent of the sire of the compary. Ha. The propertion of companies with healh insurance benefits is equal for smail, medium and large companies. Compute the expected frequency for the event that a Small Company has health insurance. Assume that the value of the test statistic was computed to be 6.09217. What is the corresponding -value? (Round your answer to four decimai piaces.) p-value = Using a 0.05 level of significance, what is your conclusion? Reject H0. Wo conclude health insurance coverage is independent of the size of the company. Reject H2j. We conclude health insurance coverage is not independent of the size of the company, Do not reject H0. We cannot conclude heaith insurance coverage and the size of the company are not independent. Do not reject H0. We cannot conclude health insurance coverage is independent of the size of the company. (b) A newspaper articie indicated employees of small companies are more likely to lack heaith insurance coverage. Use percentages based on the above cata to stapport this conclusion. (Round your answers to the nearest integer.) For small compenies, \% do not provide health insurance. For medium campanies, \% do not provide health insurance. For targe companies, W6 do not provide health insurance. These percentages support the conclusion that small companios are likely to provide heaith insurance. coverage when compared to medium and large companies