Suppose you are conducting a study to determine whether the proportion of female students in stats is equal to 30% or not, and would like to estimate the required sample size before you actually start your experiment. Your Private Investigator tells u that u need to have error margins for confidence levels as per the table below. What is the minimum sample size that ensures that all of are satisfied? Show all of your calculations and reasoning.

confidence levels margin of error

1. 0.98 0.10

2. 0.82 0.15

3. 0.81 0.19