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

Part 111: AP Statistics Practice Tests 12. 13. 396 Coastal College wants to determine whether smoking has decreased on campus over the past five years. According to a survey done five years previously, among 400 randomly selected students, 123 were smokers, The survey is done again in the present day, and among 600 randomly selected students, 155 were smokers. If the null hypothesis is that the proportion of smokers is the same, tested against the alternate hypothesis that the proportion has decreased, what would be the value of the appropriate z-statistic for this test? A. 0.845 B. 1433 C. 1.700 D. 2.158 E. 2949 A card game is used with a small set of five cards, numbered 1, 2, 3, 4, and 5. If three cards are drawn at a time, with replacement, and this is done three times in a row, what is the probability that at least one of the three times, the card with the \"1\" is drawn? A. 0.216 B. 0.600 C. 0.784 D. 0.800 E. 0.936 Suppose that it is determined that there is a strong correlation between temperature and the rate at which a population of bacteria will reproduce. For each experiment, a population of 100 cells is placed in a container, and the container is kept at a constant temperature for 24 hours. Then the number of cells is counted. A least-squares regression line is computed, relating the temperature, x, in Fahrenheit, with the final number of cells, y, at the end of the 24-hour period: A y =117 + 3.446x 90