A state is in jeopardy of losing millions of dollars in federal road funds if more than 60% of its vehicles on 55 mph highways are exceeding the speed limit.

The state police conduct radar surveys each year at a total of 50 sites to estimate the proportion of vehicles exceeding 55 mph.

Last year approximately 60% of all vehicles exceeded 55 mph.

How large a sample should be selected at site #42 on Interstate 35W to estimatepto within 3% with 90% confidence?