a survey asks a simple random sample of 500 adults in ohio if they support an increase in the state sales tax from 5% to 6%, with the additional revenue going to education. let denote the proportion in the sample who say they support the increase. suppose that 53% of all adults in ohio support the increase. what is the probability that less than half the sample will say they support the increase? use your calculator. do not round any answer until your final answer. that answer should be rounded to exactly 3 decimal places.