What are the answers for the problems below? please give me explanations as well. please ignore the random line or number. thank you. this is from cliff ap statistics book
15. School Type Four-Year College 24 46 29 Two-Year College 3 41 19 Did not attend 40 23 57 16. The following two-way contingency table represents a test of whether the college entrance is independent of the type of high school a student has attended, Urban Suburban Rural Based on this data, approximately how many urban students would be expected to attend a four-year college? A. 4 B. 30 C. 32 D. 33 E. 3 Suppose that Rosanna's is a restaurant chain that has a number of locations throughout several states. Each of their restaurants is approximately the same size, and some of their restaurants allow smoking but others do not. The owner of the Rosanna's chain wants to determine whether allowing smoking has an effect on the yearly income of the location. In order 1o test whether there is a difference between the yearly income of smoking locations and nonsmoking locations, which of the following would be the most appropriate test? A. A r-test of one sample B. A r-test of two independent samples C. A paired r-test D. Ay' goodness-of-fit test E. Ay testof independence 17. 19. A mortgage company gathers data concerning applications for mortgage and has determined that each month, the percentage of applicants for a new mortgage who are approved is approximately 67%, with a margin of error 5%. Which of the following statements best describes the meaning of \"margin of error 5%"? A. The difference between the estimated proportion and the true proportion is likely to be no more than 5%. B. Among those who are approved for a mortgage, 5% will later be denied the mortgage. C. Itis likely that 5% of applicants who were counted as \"approved\" have been counted in error. D. Approximately 5% of applicants have been neither approved nor denied. E. [Itis likely that the measured 67% will go down by 5% in the future. Super Saver shopping center wants to measure the buying patterns of their customers. Specifically, they want to estimate the mean amount of money spent by customers each visit. To accomplish this, they record the amount of money spent by every customer over the course of one week. Which term best describes this type of study? A. Census B. Cluster sample C. Random sample D. Stratified sample E. Systematic sample Nicole is a sixth grade student who has taken the DAT. Her results indicate that her mathematics score has placed her in the 88th percentile. Which of the following statements is the best description of what this means? A. She got exactly 88 questions correct. B. She got 88% of the questions correct. C. Her score was in the top 88% of all those taking the test. D. Eighty-eight percent of all people taking the test had scores above hers, E. Eighty-eight percent of all people taking the test had scores below hers. GO ON TO THE NEXT PAGE 3 3 b 3 F-Y
