3. The Mathematics & Statistics department at LancasterUniversity claims that, on average, 25% of students obtain a firstclass degree. A competitor university is interested in showing thatthis value is an overestimate. They randomly sample 82 graduatesand find that 18 have a host class degree
- What are the assumptions for conducting a hypothesis testaround this data? Are these satisfied?
- What is your null hypothesis?
- What is your alternative hypothesis?
- Calculate the p-value for the hypotheses you proposed in (b)&(c).
- What is your conclusion when conducting a 95% hypothesistest?
- Do you agree with the competitor university that the proportionof first-class degrees advertised is an overestimate? State yourreasoning.
