We are interested in if a majority of Americans believe our…

We are interested in if a majority of Americans believe our nation is entering a time of inflation for our economy, or is there a majority who does not believe this?  We survey 1000 U.S. adults and find 55% believe this.  Conduct a hypothesis test using a 0.05 significance level.   use != for 

Suppose you roll a single 6 sided die until you get a 4 or h…

Suppose you roll a single 6 sided die until you get a 4 or higher.  Round to 3 decimal places as necessary. a) What is the probability of rolling a success in this situation? [a] b) How many rolls are expected to find the first success? [b] c) Find the probability that the third roll gives a 4 or higher.  [c] d) Find the probability that it takes at most 8 rolls to get a 4 or higher. [d] e) Find the probability that it takes more than 3 rolls to get a 4 or higher. [e]