In: Statistics and Probability
A psychology
professor was interested in providing assessment options for
students in her Memory and Cognition...
A psychology
professor was interested in providing assessment options for
students in her Memory and Cognition course. She offered students
the following three options for a final assessment in the course:
1) A 50-point multiple-choice exam, 2) A five-page essay, 3) A 15
minute in-class presentation. The professor was curious if the
choices would be evenly distributed or if there would be a
significant difference in final selection distribution. Here are
the numbers of students who selected each type of assessment:
Multiple-choice exam = 10, Essay = 32, In-class presentation = 18.
Conduct a Chi-square test for goodness of fit with an alpha level
of .10 to answer this research question.
- What is the variable in this test? What type of variable is it
(nominal, ordinal, or continuous)? (2 points total, 1 for each
answer)
- State the null and alternative hypotheses in words (2 points
total: 1 for each hypothesis)
- Calculate X2 statistic (3 points total: 1
for final answer, 1 for setting up the correct OFs and EFs, 1 for
correct calculation process)
- Calculate the degrees of freedom and then identify the critical
value (2 points total, 1 for df, 1 for critical value)
- Compare the X2 statistic with the critical
value, then report the hypothesis test result, using “reject” or
“fail to reject” the null hypothesis in the answer (1 point total,
.5 for each answer)
- Explain the conclusion in a sentence or two (1 point