Solve each of the following by showing the solution in each of the following:

1) A researcher wishes to conduct a study on the perception of students regarding the annual tuition fee increase. How many respondents must he get from the 25,000 total enrolled for the first semester if he applies the 5% margin of error.

2) Albert would like to conduct a survey in their village with a total of 500 residents. How many must he pick if he wants to be 98.35% precise with his study?

3) Abigail is a teacher researcher in her school. If she used 150 respondents to determine the causes of poor enrolment for this semester, how many have she considered as population in the school if a 3% margin of error was maintained?

4) If a researcher decided to use a 0.25% square margin of error in her study, how many samples must he use to conduct a research from 1200 students in the Psychology program.

5) You are interested in conducting a study among parents of your students about the effect of the recent pandemic due to COVID 19 in your college, how many parent-respondents would you need if 800 parents were considered using a 97.5% precision.