A 1996 report from the U. S. Consumer Product Safety Commission claimed that at least 90% of all American homes have at least one smoke detector. New York's fire department has been running a public safety campaign about smoke detectors consisting of posters, billboards, and ads on radio and TV and in the newspaper. The city wonders if this concerted effort has raised the local level about the 90% national average. Building inspectors visit 500 randomly selected homes and find that 462 have smoke detectors. Is this strong evidence that the local rate is higher than the national average? Use an alpha level of 5%

1- is the product of two rational numbers irrational or rational? first, make a hypothesis by multiplying two rational numbers. then, use variables such as x=a/b and y=c/d and the closure property of integers to prove your hypothesis. 2- 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. 3- 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 part b?