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. Health Insurance Size of Company Yes No Total Small 31 19 50 Medium 62 13 75 Large 87 13 100 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 x test statistic (to 2 decimals). The p-value is less than .005 Using a = .05 level of significance, what is your conclusion? Conclude health insurance coverage is not independent of the size of the company 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 Medium Large

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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.
Health Insurance
Size of Company
Yes
No
Total
Small
31
19
50
Medium
62
13
75
Large
87
13
100
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 x? test statistic (to 2 decimals).
The p-value is less than .005
Using a = .05 level of significance, what is your conclusion?
Conclude health insurance coverage is not independent of the size of the company
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
%
Medium
Large
%
Transcribed Image Text: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. Health Insurance Size of Company Yes No Total Small 31 19 50 Medium 62 13 75 Large 87 13 100 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 x? test statistic (to 2 decimals). The p-value is less than .005 Using a = .05 level of significance, what is your conclusion? Conclude health insurance coverage is not independent of the size of the company 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 % Medium Large %
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