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Student folklore holds that answer b is very often the correct one in convention

ID: 3204764 • Letter: S

Question

Student folklore holds that answer b is very often the correct one in conventional multiple-choice exams, where each question has five possible answers. To test whether this belief holds for certain instructor, the students plan to examine the next 20 multiple-choice questions asked by the instructor.

a. Is the binomial approach the appropriate in this instance? In other words, would the binomial assumptions be reasonable in this situation?

b. Assuming that only one answer to any question is regarded as correct, what is the natural null hypothesis to be tested?

c. Should the research hypothesis one-sided or two-sided

Explanation / Answer

a) Yes, binomial assumption is reasonable as every question is independent and probability of correct answer is also contant.

b)

Ho : Distribution follows binomial distribution ( P(A) =P(B) =P(C) =P(D)=P(E))

Ha : Distribution does not follow binomial distribution. Atleast on is not equal.

c) It is a 2 sided hypothesis.