The dataset Employed ACS contains just the subset of people in the dataset ACS who were employed (n = 431). Income gives each person’s wages or salary income in the past 12 months (in thousands of dollars), and Sex is coded with 1 for males, 0 for females.
(a) Produce a plot of the distribution of yearly income for US residents and comment on the distribution.
(b) Give relevant summary statistics for the yearly income for US residents.
(c) Produce a plot showing the relationship between Income and Sex and comment on what you see.
(d) Summarize the relationship between Income and Sex with appropriate summary statistics.
(e) Does the Employed ACS dataset provide significant evidence that average yearly income differs for employed males and females in the US? State hypotheses, use a randomization test to calculate a p-value, and make a conclusion in context.

The American Community Survey, administered by the US Census Bureau, is given every year to a random sample of about 3.5 million households (about 3% of all US households). It has been crucial for government and policy decisions, and helps to determine how over 400 billion dollars of government funds are distributed each year. Unfortunately, the House voted in May 2012 to eliminate this valuable source of information. Data on a random sample of 1% of all US residents are made public (after ensuring anonymity), and we have selected a random sub-sample of n = 1000 from the 2010 data, stored in ACS.