In a representative sample of 1000 adult Americans, only 420 could name at least one justice who is currently serving on the U.S. Supreme Court. Using a significance level of 0.01, carry out a hypothesis test to determine if there is convincing evidence to support the claim that fewer than half of adult Americans can name at least one justice currently serving on the Supreme Court. (Round your test statistic to two decimal places and your P-value to four decimal places.)