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A manager of a campus store that sells posters conjectures that more than 30% of all...

A manager of a campus store that sells posters conjectures that more than 30% of all freshman dorm rooms have a poster of a rock group. From n = 60 rooms selected at random, an investigator will record X = number of rooms having a poster of a rock group

  1. (a) Formulate a null and alternative hypotheses for verifying the conjecture.

  2. (b) Select a rejection region for which α ≤ 0.05.

  3. (c) If p = 0.4, what error can be made? Explain in words in the context of the problem

  4. (d) What is the conclusion of your test if you observe 25 rooms having a poster of a rock group?

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