A university reports that 17% of their students fail general chemistry on their first attempt. Professor Brown teaches general chemitry at this university, and believes the rate of first-time failure for his class is lower than the university number. He samples 64 students from last semester who were first-time enrollees in general chemistry, and finds that 11 of them failed his course. i). State the appropriate null and alternate hypotheses. ii). Compute the test statistic z.
iii). Using = 0.05, conduct a hypothesis test and state your conclusion.