Which two statements were reasons the federal government passed the Homestead Act? to protect land from being claimed by Native Americans
to limit the growth of white settlements west of the Mississippi River
to defend the western frontier from an invasion from Mexico
to establish Union control over potentially hostile territory
to encourage the creation of a railroad system from Canada to Mexico

evaluate the extent to which the seven years' war (french and indian war, 1754–1763) marked a turning point in american relations with great britain, analyzing what changed and what stayed the same from the period before the war to the period after it.

religion played a major role in the american revolution by offering a moral sanction for opposition to the british--an assurance to the average american that revolution was justified in the sight of god. the revolution strengthened millennialist strains in american.

less available tax revenue

this basically means that when they get money from taxes wirth having a lower gdp they get less then what others have with a higher gdp

a hypothesis is an expected answer to a question, usually based on some theory or prior research. hypothesis testing is a method of determining the viability of a hypothesis. let’s use the us presidential election as an example. there are many hypotheses (questions) about how people feel or whom they will vote for. the only way to know the 100% “truth” about the answers to these questions is to ask every single possible voter – something that is impossible, expensive, time consuming etc. instead, we take samples and use statistics to make “best guesses” about the answer to a particular hypothesis. we never know for sure if our conclusion is right at the time we accept/reject it, but these techniques, when used appropriately can get us close to the truth most of the time (which is a lot better than guessing, flipping coins or throwing darts to get answers).

the tricky part about hypothesis testing is that we have to think somewhat backwards about it – we have to test what is known as the “null hypothesis”. as an example, the hypothesis might be “obama is more popular than romney” while the null hypothesis is “there is no difference in popularity between obama and romney”. we focus on the null hypothesis because it tells us exactly what the expected value of our tests should be (obama popularity = romney popularity) and we can collect data and see if it comes out that way (see next section on “significance”). if it does, then we “accept the null hypothesis” and reject our original hypothesis. if the null hypothesis is disproven, we look at the data to see if our original hypothesis holds (obama> romney).