Provide complete solutions 1.Spearman2. Spearson

Solve the following problems and encircle the final answer/s. (20 points) 1. Is a province with a higher population likely to have a higher crime rate? The following data represent the population and crime rate (crimes per 100,000 population) for a random sample of states: Province Population Crime Rate per 100,000 (in thousands) population Bicol 4447 490 Cagayan 4201 341 Iloilo 1245 733 Kaalinga 2691 383 Mindanao 8043 274 Nueva Ecija 4011 542 South Cotabato 3829 176 Vigan 2317 351 Test the claim that province with a higher population have a higher crime rate at 0.05 level of significance. 2. A sociologist claims that as the per capita personal income of a province increases, the birth rate decreases. She randomly selects nine provinces and obtain the following data: Province Per Capita personal Income Birth Rate (Php) Pangasinan 28493 13.9 Pampanga 28674 13.0 Tarlac 26109 13.2 Manila 35704 15.7 Bulacan 23168 14.2 Ilocos 20508 13.6 Davao 23822 15.8 Quezon 24799 13.1 Palawan 18724 11.3 Test the sociologist's claim at 0.05 level of significance