a marketing company conducted an analysis of market preference for four different brands of orange juice. the hypothesis is that there is no preference for any one brand over the others. the following table presents the result of a random sample of preferences. what are the expected frequencies for each brand, and what is the degrees of freedom for a chi-square test on this data?

What impact might an economic downturn have on a borrower’s fixed-rate mortgage? a. it might cause a borrower’s payments to go up. b. it might cause a borrower’s payments to go down. c. it has no impact because a fixed-rate mortgage cannot change. d. it has no impact because the economy does not affect interest rates.

David paid $975,000 for two beachfront lots in coastal south carolina, with the intention of building residential homes on each. two years later, the south carolina legislature passed the beachfront management act, barring any further development of the coast, including david's lots. when david files a complaint to seek compensation for his property, south carolina refuses, pointing to a passage in david's own complaint that states "the beachfront management act [was] properly and validly designed to south carolina's " is south carolina required to compensate david under the takings clause?

> > objectives define federalism and explain why the framers adopted a federal system instead of a unitary system. categorize powers delegated to and denied to the national government, and powers reserved for and denied to the states, and the difference between exclusive and concurrent powers.