Solve the following. Write your complete and neat solutions on a bond paper or a clean sheet of paper. Specify the details you have to do for each step. Write legibly and use black ink only. 1. A psychologist is interested investigating the proportion of depressed teenagers in a particular city. Using a sample of 40 teenagers, 16 were found to exhibit symptoms of depression. At a = 0.01, test the claim that more that 35% of teenagers who live in the city exhibit symptoms of depression. 2. It is believed that from among senior high school students, 15% would like to pursue engineering course. Suppose a random survey reveals that 85 out of 600 students choose engineering course, would you say that the percentage of those who would pursue engineering course is less than 15%? Use 0.05 level of significance. 3. At the college of science department in a university, 150 were surveyed and 20 of them were found to have OFW parents. At a = 0.05, are there more than 13% of the students in the college of science department in the university