A study of 203 police officers in an eastern state found that their mean salary was $75,500 with a sample standard deviation of $3,000. The same study of 245 police officers in a northern state found that their mean salary was $74,500 with a sample standard deviation of $4,000. Let group 1 be the eastern state police officers and group 2 be the northern state police officers. Suppose the salaries of 61 police officers among 203 police officers in an eastern state and 81 police officers among 245 police officers in a northern state were over $100,000.Find the lower bound of a 95% confidence interval for the difference in proportions of over $100,000 salaries between the two groups.