Homework 7 STAT 100 – Fall 2015 Name(s): 1. In 1973, the University of California at Berkeley was accused of having discriminated against women in their admissions process to graduate programs. Data on the number of acceptances and rejections for both male and female applicants can be found in the file UCBerkeley.xls (this has been posted on the course website). The question you will investigate in this homework is whether the decision to admit or to reject was influenced by the sex of the applicant (specifically, you will investigate whether women were denied admittance to graduate programs more often than men). a. Construct the following pivot table in Excel. Then, fill in the appropriate counts in the table below. Admitted Rejected Grand Total Female Male Grand Total b. As stated above, we want to know whether females were less likely than males to be admitted to graduate school programs at this university (back in 1973). Compute the appropriate row percentages for investigating this question. Type these percentages into the table below. % Admitted % Rejected Female Male c. Construct a 100% stacked column chart to display the data shown in the table from part b. Copy and paste this chart below. 1 Homework 7 STAT 100 – Fall 2015 d. Based on your analysis so far, does it appear that women may have been discriminated against in the graduate admissions process at the University of California – Berkeley in 1973? Explain why or why not. e. Construct the following pivot table in Excel. Then, fill in the appropriate row percentages in the table below. % Female % Male Business Communications Engineering Literature Medicine Psychology f. Based on the information summarized in the above table (part e), which graduate programs tended to have more female than male applicants? 2 Homework 7 STAT 100 – Fall 2015 g. Construct the following pivot table in Excel. Then, fill in the appropriate row percentages in the table below. % Admitted % Rejected Business Communications Engineering Literature Medicine Psychology h. Based on the information summarized in the above table (part g), which graduate programs tended to have lower acceptance rates, regardless of sex? i. Next, let’s consider all three variables in the same analysis (Gender, Whether they were admitted or rejected, and Department). To do this, add “Department” to the “Filter” field of the pivot field list and construct the following pivot tables in Excel for each department. Fill in the appropriate row percentages in the tables below. Business Department % Admitted % Rejected Female Male Communications Department % Admitted % Rejected Female Male 3 Homework 7 STAT 100 – Fall 2015 Engineering Department % Admitted % Rejected Female Male Literature Department % Admitted % Rejected Female Male Medicine Department % Admitted % Rejected Female Male Psychology Department % Admitted % Rejected Female Male j. Based on the tables constructed in part i, do you now believe that women were discriminated against in the graduate admissions process at the University of California – Berkeley in 1973? Explain why or why not. 4 Homework 7 STAT 100 – Fall 2015 2. In July/August of 2015, CBS News polled a random sample of 1,252 adults nationwide. They were asked the following question: “Do you feel that the distribution of money and wealth in this country is fair, or do you feel that the money and wealth in this country should be more evenly distributed among more people?” The table below summarizes the responses to this question by political affiliation. Republicans Democrats Independents Fair 166 47 150 Should be more even 136 371 301 Unsure/No answer 23 8 50 a. In Excel, enter the data in the appropriate format (see the top of page 17 in Handout 7). You do not need to copy and paste the data below; I will know you did this correctly if you are able to do part b. b. Construct a 100% stacked bar chart in Excel that will allow you to make comparisons of the response categories across political affiliation (in other words, political affiliation should appear on the x-axis of your chart). Copy and paste this chart below. c. Write a sentence or two summarizing the differences in opinions across political affiliation. 5