At a certain university, 16% of students fail general chemistry on their first attempt. Professor Brown teaches at this university and believes that the rate of first-time failure in his general chemistry classes is 33%. He samples 96 students from last semester who were first-time enrollees in general chemistry and finds that 15 of them failed his course. i) State the appropriate null and alternate hypotheses. ii) Compute the test statistic. iii) Using α=0.05, can you conclude that the percentage of failures differs from 33%?

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