A paralegal at the Vermont State Attorney General’s office wants to know how many companies in Vermont provide health insurance benefits to all employees. She chooses 12 companies at random and finds that all 12 offer benefits.
a) Check the assumptions and conditions for inference on proportions.
b) If conditions are met, find a 95% confidence interval for the true proportion of companies that provide health insurance benefits to all their employees. If conditions are not met, explain why.