Q2) Chi-Square Text for Goodness of Fit (11 points)

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.

a)What is the variable in this test? What type of variable is it (nominal, ordinal, or continuous)? (2 points total, 1 for each answer)

b)State the null and alternative hypotheses in words (2 points total: 1 for each hypothesis)

c)Calculate X² statistic (3 points total: 1 for final answer, 1 for setting up the correct OFs and EFs, 1 for correct calculation process)

d)Calculate the degrees of freedom and then identify the critical value (2 points total, 1 for df, 1 for critical value)

e)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)

f)Explain the conclusion in a sentence or two (1 point)