Gallup surveyed adult Americans about their consumer debt (“Americans’ Big Debt Burden Growing, Not Evenly Distributed,” February 4, 2016, gallup.com, retrieved December 15, 2016). The article reported that 47% of millennials (those born between 1980 and 1996) and 61% of Gen Xers (those born between 1965 and 1971) did not pay off their credit cards each month, and therefore carried a balance from month to month. Suppose that these percentages were based on representative samples of 450 millennials and 300 Gen Xers. Is there convincing evidence that the proportion of Gen Xers who do not pay off their credit cards each month is greater than this proportion for millennials? Test the appropriate hypotheses using a significance level of 0.05.