A 90% confidence interval is created for the proportion of consumers which prefer your product over the competitors. This interval is found to be 46% to 64%. a. Using this interval, is it correct to say with 90% confidence that more consumers prefer your product? Explain your reasoning. You are a dishonest statistician and want to ensure that you can say more consumers prefer your product than they do a competitor’s b. What are two ways that you can manipulate these results to get a more favorable outcome which according to the data is statistically correct, (i. e. not just lying)?

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?