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 a32% chance that it will be available when he gets to choose his classes. Jacob wonders if his chances are actually better than32% since in the past few years,72of200 freshmenwho requested the course were able to get in. Do these data provide good evidence that freshmen have a better than32% chance of getting the course if they ask for it?

(a)What is the null hypothesis?

H₀:p= 0.32

H₀:p< 0.32

H₀:p> 0.32

H₀:p0.32

(b)What is the alternative hypothesis?

H_a:p= 0.32

H_a:p< 0.32

H_a:p> 0.32

H_a:p0.32

(c)What is the value ofp?

p=

(d)What is the value ofz? (Round your answer to two decimal places.)

z=

(e)What is theP-value for this test? (Usea tableor technology. Round your answer to four decimal places.)