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 instructors, the students plan to examine the next 20 multiple-choice questions asked by the instructor.

1. Isthebinomialapproachtheappropriateinthisinstance?In other words, would the binomial assumptions be reasonable in this situation?

2. Assumingthatonlyoneanswertoanyquestionisregardedascorrect, what is the natural null hypothesis to be tested?

3. Should the research hypothesis one-sided or two-sided?

Answer 1

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

yes, Bionomial approach is fine for this instance. binomial is for the success and failure.

if questions answer is b, then it is success i.e "p", if answers questions will be the other than the b, then it is "q".

As sum in gth atonly one answer to any question is regarded as correct, what is the natural null hypothesis to be tested?Should the research hypothesis one-sided or two-sided?

Null Hypothesis: The null hypothesis for this test is that your results do not differ significantly from what is expected.

Students assumption is probability of the selecting the b answer then the other all options.

H0: p=0.5;

H1:p>0.5 (probability of selecting the b is more than 0.5)

Should the research hypothesis one-sided or two-sided?

as I mentioned above the alternative hypothesis is one sided.

Thanks