An article included the following statement: "few people believe there's much reality in reality tv: a total of 84% said the shows are either 'totally made up' or 'mostly distorted.'" this statement was based on a survey of 1001 randomly selected adults. compute a bound on the error (based on 95% confidence) of estimation for the reported proportion of 0.84. (round your answer to three decimal places.)

1- what do you think the product of a nonzero rational number and an irrational number is? is it rational or irrational? make use of variables, the closure property of integers, and possibly a proof by contradiction to prove your hypothesis.2- why do we have to specify that the rational number must be nonzero when we determine what the product of a nonzero rational number and an irrational number is? if the rational number were 0, would it give us the same result we found in the first question?