In: Statistics and Probability
The research department at the home office of Arkansas Insurance conducts on-going research on the causes of automobile accidents, the characteristics of drivers, and so on. A random sample of 400 policies written on single persons revealed 96 had at least one accident in the previous three-year period. Similarly, a sample of 600 policies on married persons revealed that 125 have been in at least one accident. At the 0.05 significance level, is there a significant difference in the proportions of single and married persons having an accident during a three-year period? Conduct a six-step hypothesis test and include determining the p-value