This question is an extension from Q2 above. The high schoolteacher was also interested in whether there is a gender differencein terms of the student’s choice of majors. So he broke the datadown by gender in the following table and conducted a Chi-squaretest for independence with ? = .05.
Type of Major | Female | Male | Total |
STEM | 10 | 25 | 35 |
Social Sciences | 11 | 9 | 20 |
Liberal Arts | 7 | 3 | 10 |
a. What are the variables in this analysis? What scale ofmeasurement is each variable (nominal, ordinal, or continuous)? (2points total: 1 for each variable- .5 for variable name, .5 forvariable type)
b. State the null and alternative hypotheses in words (1 pointtotal: .5 for each hypothesis)
c. Calculate X2 statistic (2 points total: 1 for final answer, 1for the process of calculating it)
d. Calculate the degree of freedom and then identify thecritical value (1 point total: .5 for df, .5 for criticalvalue)
e. Compare the X2 statistic with the critical value, then reportthe hypothesis test result, using “reject” or “fail to reject” thenull hypothesis in the answer (1 point total, .5 for eachanswer)
f. Explain the conclusion in a sentence or two, to answer theresearch question. (1 point)
