In the 2013 season, a baseball player had 171 hits in 600 at bats (0.285). the agent of this player claims that, in fact, this player is a 300 hitter. in other words, the agent claims that, for any single at bat, the probability the player gets a hit is at least 0.3, independently from at bat to at bat. using only the data given here, can we reject the agent's claim at a 2.5% level of significance