3. The Mathematics & Statistics department at Lancaster University claims that, on average, 25% of students...

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Statistics

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.

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This is problem of Hypothesis Test for aProportiona To conduct a hypothesis test of aproportion the following conditions are should be metThe sampling method is simple random samplingEach sample point can result in just two possible outcomes See Answer

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