A 1996 report from the U. S. Consumer Product Safety Commission claimed that at least 90% of all American homes have at least one smoke detector. New York's fire department has been running a public safety campaign about smoke detectors consisting of posters, billboards, and ads on radio and TV and in the newspaper. The city wonders if this concerted effort has raised the local level about the 90% national average. Building inspectors visit 500 randomly selected homes and find that 462 have smoke detectors. Is this strong evidence that the local rate is higher than the national average? Use an alpha level of 5%