Suppose that the census indicates the average American earns $36,345.45 per year. You are interested in the whether people who majored in political science earn an amount that is different than the average American. therefore, you survey a random sample of 25 people who graduated college and majored in political science, and you find that their average income is $36,878.25, with standard deviation of $400.
Go through the full hypothesis testing procedure. with 95% confidence what do you conclude?