Assignment 3 URBS 362 Winter 2023 - Submission Deadline: April 5, 2023 at 2:30 p.m. General Instructions This is a two-person assignment. Assignments from one-person teams are allowed. Three person teams are not accepted. Assignments are done on the student's own time. Calculations should be done by hand in order to provide practice for the exams. The assignments must be handed over in paper format in class or in the instructor's mail- box at the department. Answers can be typed (e.g., word processor) or handwritten. Please write clearly because words and numbers that cannot be read without difficulty will count as not written. Please submit only one assignment per team. Late reports will be subject to a 10% penalty per day for an unjustified late submission. For each question provide: a) A justification of the statistical test you selected. A reference to a one-tailed or a two-tailed test does not answer adequately to this question (0.5 points) b) The statistical hypotheses (null and alternative hypotheses). The mathematical no- tation is not accepted (0.5 points) c) The calculations and the results of the statistical test(s) (1.75 points) d) Your interpretation of the results of the statistical test(s). Specify if you accept or you reject the null hypothesis and give the practical implications. The level of significance (a) is 5% (or 0.05). (0.75 points) Please carry at least two (2) decimal places in all your calculations. Some numbers are very small. Keep the first two numbers that are different from zero. For instance, if you have the following number 0.000,1234, use the number 0.000,12 during your calculations. Each question is worth 3.5 points for a total of 7 points. The teaching assistant and course instructor do not provide help on the theory of the course. Question 1 You are characterizing two boroughs. You wish to know which borough has the highest proportion of immigrants. Based on your sample, the Venmark borough has 246 im- migrants over 722 residents whereas the Clinfield borough has 83 foreigners over 302 inhabitants. Which borough has the highest proportion of immigrants? Proportion of Immigrants Proportion 0.20 0.30 0.00 0.10 Clinfield Venmark Borough Question 2 The mean age of the inhabitants in your borough is increasing over time. Based on guidelines published by the elected representatives, the proportion of people over 70 years must be greater than 35% to proceed to changes in the urban infrastructures (e.g., more park benches). Data from your sample shows that 134 over 354 inhabitants are over this age limit. Should the borough starts making changes to its urban infrastructures?