MY NOTES PRACTICE ANOTHER A company surveyed adult Americans about their consumer debt. They reported that 48% of Millennials (those born between 1981 and 1996) and 59% of Gen Xers (those born between 1965 and 1980) 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. (Let p be the proportion of Gen Xers who do not pay off their credit cards each month, and p2 be the proportion of Millennials who do not pay off their credit cards each month.) USE SALT State the appropriate null and alternative hypotheses. (Enter != for as needed.) Ho H Find the test statistic. (Round your answer to two decimal places.) Use technology to find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. We fail to reject Ho. We have 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. We reject Ho. We do not have 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. We reject Ho. We have 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. We fail to reject Ho. We do not have 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.