Workshop 6 Section 010 Module 4: "NHST and Chi-Square Goodness of Fit" 1) Consider the following APA-style result from a chi-square goodness of fit test: X' (4, N = 96) = 8. 4792,p >.05. a. What was the significance (a) level? b. What was the sample size? c. What were the degrees of freedom? How many categories were there (hint: use our formula for the degrees of freedom to reverse engineer this)? d. What was the critical value (look it up in the formula packet)? e. Was the null hypothesis rejected or retained? f. What kind of error could we make with this decision? g. Would the evaluation of the null hypothesis change if we used a = .10 instead of c =.05? If so, how? What kind of error could we make with this decision?2) A researcher wonders if men and women are equally likely to enroll in a pre-med program and finds the following data: Men enrolled | Women enrolled 123 185 Determine whether an equal number of men and women or a significantly different number of men and women enroll in the pre-med program. Use an a-level of 0.01. a. Identify the variable of this study. What are its levels? b. State the hypotheses. c. Determine the degrees of freedom for this goodness of-fit test and look up the critical value in our formula packet. d. Fill out the table below, using our examples in lecture as a guide. For your expected values, think about our question (equally likely = 50% men, 50% women). I've filled out our observed values for you to get you started) Men enrolled Women enrolled TOTAL 123 18: fe J. - f F e. Calculate the y' statistic using your values in the table above and the formula for chi-square below: PSYC 3510 Fall 2020 Workshop 6 Section 010 Module 4: "NHST and Chi-Square Goodness of Fit" f. Evaluate the null hypothesis (reject or retain) and provide an interpretation in words