Each person in a random sample of 54 students living in the dorms at a large uni

Question

Each person in a random sample of 54 students living in the dorms at a large university was asked whether he or she preferred to study in the dorm room, in the dorms study lounge, or at the university library the resulting data is summarized in the table below.

Dorm Room: 14
Study Lounge: 17
Library: 23

In a hypothesis test to determine if there is evidence that the three locations are not equally preferred by students at the university who live in the dorms, what is the expected count for the library category?

a)20
b)12
c)10
d)54
e)18

Explanation / Answer

aplying chi square goodness of fit test on above:

expected count for the library category =18

therefore option E is correct

observed Expected Chi square Probability O E=total*p =(O-E)^2/E Dorm Room 1/3 14.000 18.00 0.89 Study Lounge 1/3 17.000 18.00 0.06 Library 1/3 23.000 18.00 1.39 1 54 54 2.3333

Related Questions

Navigate

• Browse (All)
• Browse E
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.