Officials in Dexter, a small town in upstate New York, have decided to install more fire hydrants in order to decrease insurance rates for many businesses. Prior to installing the new fire hydrants,...

Officials in Dexter, a small town in upstate New York, have decided to install more fire hydrants in order to decrease insurance rates for many businesses. Prior to installing the new fire hydrants, the mean distance to a fire hydrant for downtown buildings was 525 feet. After the new installations, a random sample of downtown buildings will be obtained, and the distance to the nearest fire hydrant will be recorded. The data will be used to determine whether there is evidence that the mean distance to a fire hydrant has decreased. State the null and alternative hypotheses in terms of
 he population mean distance to a fire hydrant.

The U.S. Health Insurance Portability and Accountability Act of 1996 (HIPAA) was designed to protect personal privacy. However, this law has created mountains of paperwork and may even increase the cost of medical care. The federal government has decided to consider repealing this law if more than 60% of all hospitals are experiencing increased costs due to this regulation. A random sample of hospitals will be obtained, and the resulting information will be used to test the relevant hypothesis. State the null and alternative hypotheses in terms of p, the population proportion of hospitals experiencing increased costs as a result of HIPAA.