Based on research done by the Bradly Corporation, the proportion of Americans that wash their hands after using the restroom is p = 0.66. You plan to take a random sample of 100 students at BYU-Idaho and calculate the proportion of those who wash their hands in your sample. You want to see if the proportion among BYU-Idaho students is different than the national proportion. Use this information to answer all the parts. Question 5 1 pts Part 1: What is the mean of the distribution of all such sample proportions? 0.66 Question 6 1 pts Part 2: What is the standard deviation of the distribution of all such sample proportions