MATH 117 – Intro to StatisticsName __________________________________Notes Chapter 6 (6.1 – 6.3) Date __________________________SaidiNotes Chapter 6.1 – 6.3 - Distribution of a Sample ProportionYou should be able to: 1. Find the center and standard error for a distribution of sample proportions 2. Identify when a normal distribution is an appropriate model .A.Standard Error for Sample Proportion(6.1)The standard error (SE) for a sample proportion pˆis: The standard error for ^pis npqornpp)1(** The larger the sample size, the smaller the SEsenFor Example: The 2010 census reports that, of all the nation’s occupied housing units, 65.1% are owned by the occupants. a. If we were to take random samples of 100 homes, what would the standard error of ^pbe?b. What if the sample size was only 20 homes. What would the standard error be?