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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 p 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 MY NOTES Use technology to find the p value Round your answer to four decimal places p value PRACTICE ANOTHER 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

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