In a certain large state university, older students get to choose their classes before younger students; that often means that freshmen don't get to take the classes they want. Jacob wants to take a really popular course in Russian literature, but his adviser says there's only a 30% chance that it will be available when he gets to choose his classes. Jacob wonders if his chances are actually better than 30% since in the past few years, 73 of 200 freshmen who requested the course were able to get in. Do these data provide good evidence that freshmen have a better than 30% chance of getting the course if they ask for it?

What is the value of z? (Round your answer to two decimal places.)