Question: Academic dishonesty continues to be a problem on university campuses. A study reported that in a random sample of 480 students, 124 said that they looked at their notes during an exam. Assume that the survey was designed and carried out in a manner resulting in truthful responses by students.

1. State the relevant null and alternative hypotheses, in terms of a suitable parameter, in order to answer the following question: Is there enough evidence to suggest that more than 20% of all students engaged in the aforementioned form of cheating?
2. Write down a formula for the relevant test statistic. What is its distribution given that the null hypothesis is true?
3. Carry out the relevant test specifying the critical region (use 05 = 0.05) and state clearly the conclusion from the test.
4. From the above sample, find a 95% confidence interval for the proportion of students engaging in the aforementioned form of cheating, first writing down the relevant formula for such an interval.

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