A report noted that for the population of 9th graders, one-third of the students are unable to

pass a quiz in basic geography. One teacher, having spent a great deal of time on geography

instruction, gave the same quiz to a group of n = 72. Only X = 18 students in the group did not

pass the test. The teacher would like to know if the number of students in this class who failed

the quiz is significantly different from the general population. For a binomial test with = .05

with the following "hypothesis/setup":

a. Assume a two-tailed test. (5 points)

b. Assume a (one-tailed) directional test. (5 points)