You are interested in the banana purchasing habits and opinions of a small town with 1000 households. You sample 75 households and find that 80% of them are satisfied with the banana quality at their local grocery store..
We do not know the true mean for this population (in other words, we don't know what proportion of households are satisfied with their banana quality). However, we want to construct a 90% confidence interval for where we believe the true proportion is.
What is the LOWER VALUE of this proportion? (IN ALL STEPS IN YOUR CALCULATIONS ROUND TO the .0000 place, and write your answer to the .0000 place as well)