No less than The U S Census Bureau reported that in 2019 the proportion of adult Americans ages 25 and older who have a bachelor s degree or higher is 0 36 t Consider the population of all adult Americans ages 25 and over in 2019 and define p to be the proportion of people in a random sample from this population who have a bachelor s degree or higher a Would p based on a random sample of only 10 people from this population have a sampling distribution that is approximately normal Explain why or why not approximately normally distributed because np is the sampling distribution of p based on a random sample of size 10 residents would not be 10 0 36 standard deviation 11 7575 b What are the mean and standard deviation of the sampling distribution of p if the sample size is 600 Round your standard deviation to four decimal places mean 2 022 mean MY NOTES x standard deviation PRACTICE ANOTHER c Suppose that the sample size is n 300 rather than n 600 What are the values for the mean and standard deviation when n 300 Round your standard deviation to four decimal places 0 36 0 0277 Does the change in sample size affect the mean and standard deviation of the sampling distribution of p If not explain why not Select all that apply When the sample size decreases the mean increases When the sample size decreases the mean decreases When the sample size decreases the mean stays the same The sampling distribution is always centered at the population mean regardless of sample size When the sample size decreases the standard deviation increases When the sample size decreases the standard deviation decreases When the sample size decreases the standard deviation stays the same The standard deviation of the sampling distribution is always the same as the standard deviation of the population distribution regardless of sample size X