The variable Fireplace is a dichotomous variable where 1=has a fireplace and 0=does not have a fireplace. Calculate the proportion of homes that have fireplaces for all 1060 homes. Using this value, calculate what the standard error of the sample proportion would be for a sample of size 50. Using the software of your choice, draw 100 samples of size 50 from this population of homes, find the proportion of homes with fireplaces in each of these samples, and make a histogram of these proportions. Compare the mean and standard deviation of this (sampling) distribution to what you previously calculated. Examine the distribution of the sampled proportions. What do you expect it to look like? How closely does it match the theoretical distribution?