III. State what sampling technique is applied in the given situations. Write your answer on the space provided in each number. (14 points) 1. A sample of 10 will be selected from a population of 40 patients. Every 3"d element of the population will be included in the sample. 2. Five students will be selected from the list of 40 students in a class numbered 1 to 40. The teacher uses the table of random numbers to determine the sample. 3. The researcher wants to study the effect of certain teaching methodology to students in Iloilo City. Since there are many schools in the city, the researcher will randomly choose few schools and then the students in these schools will be surveyed. 4. A sample of 100 students is to be selected from junior high school with a total population of 1000, of which 250 are grade 7, 200 in grade 8, 300 in grade 9 and 250 are in grade 10. Assume that the sample size is proportionally distributed. 5. A researcher would like to gather opinion about a specific political issue. To determine his samples, he initiated an opinion poll through social media. 6. A study is conducted in a defined population in which 30% are single and 70% are married. There are 100 individuals needed as the sample. The researcher randomly choses 30 single and 70 married individuals. 7. A researcher is conducting a study about the effectiveness of using algebra tiles in teaching factoring among grade 8 students. He grouped the students homogeneously according to their mathematical ability. The table below shows the groups formed with their corresponding sizes. Math ability Group size Beginning 18 Developing 50 Approaching Proficiency 130 Proficient 17 Advanced 15 TOTAL 230