The table below shows the responses for two of the variables from the STAT101 Survey in Week 1. We asked you, among other questions, "Which of the choices below best describes your major for your university study?" and "Do you prefer Cadbury or Whittaker's chocolate?" Chocolate Preferences Don't eat Cadbury for chocolate, it's Don't mind Whittaker's Major sure! Accounting/Management/ Finance/Economics 37 gross! 19 either way. of course! Total 71 122 249 Chemistry/Physics/Biology /Natural Sciences 27 7 51 Computer Science 9 3 11 196 44 Education/Physical Education 2 3 m 00 Engineering/Product Design 5 3 9 14 Languages/Cultures/Fine Arts/Music/Theatre 2 P Law 2 2 5 14 23 Maths/Statistics/Data Science 4 S 12 16 37 Other 7 3 15 48 73 73 Total 95 39 171 343 648 When answering the questions below round proportions to 2 decimal places and make sure you use appropriate notation. (i) How many sampled students are represented in this table? (ii) What proportion of sampled students are studying a Computer Science major? (iii) (iv) What proportion of sampled Computer Science majors prefer Whittaker's chocolate? What proportion of sampled students, that prefer Whittaker's chocolate, are Computer Science majors? What is the difference in the proportions of sampled students that prefer Cadbury chocolate and Whittaker's chocolate? Peter, a sophomore at Arizona State, can't decide whether to major in data processing (DP) or computer science (CS). He thinks that computer science will require more work, so he would prefer to major in data processing (DP) unless the average starting salary is significantly higher in computer science. For a directional t-test, the most appropriate alternative hypothesis here would be OH1: Computer Science Data Processing OH1: Computer Science Data Processing H1: Computer Science > Data Processing H1: Computer Science = Data Processing Let n = "Nancy will major in computer science" and k = "Karen will major in computer science." Write the following statement in symbolic form: Either Nancy will major in computer science or Karen will major in computer science, but not both.