Question: Every 10 years, the United States takes a census. The census tries to count every resident. There are two forms, known as the "short form," answered by most people, and the "long form," slogged through by about one in six or seven households chosen at random. According to the Census Bureau (www.census.gov), " each estimate based on the long form responses has an associated confidence interval."
Based only on the long-form sample, we might test the null hypothesis about the mean household income in a region. Would the power of the test increase or decrease if we used an area with more long forms?