6.1-D: Distribution of a Proportion Example 1: Proportion Speaking a Language other than English in Oregon From the 2010 US Census, we learn that 14.6% of the residents of Oregon speak a language other than English at home. If we take random samples of size n = 100 and calculate the proportion of the sample that speaks a language other than English at home, describe the shape, mean, and standard error of the distribution of sample proportions. Describe the shape, mean, and standard error of the distribution of sample proportions if we instead take random samples of size n = 500. What is the effect of the larger sample size on the shape, mean and standard error? Quick Self-Quiz: Distribution of a Sample Proportion From the 2010 US Census, we learn that 71.8% of the residents of Missouri are 21 years old or over. If we take random samples of size n = 200 and calculate the proportion of the sample that is 21 years old or over, describe the shape, mean, and standard error of the distribution of sample proportions