Has the proportion of Americans that are "20-somethings" decreased? According to the US Census Bureau, 15.1% of Americans living in 2004 were "20- somethings" (between ages 20 and 29). You take a...

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Extracted text: Has the proportion of Americans that are "20-somethings" decreased? According to the US Census Bureau, 15.1% of Americans living in 2004 were "20- somethings" (between ages 20 and 29). You take a random sample of 500 Americans and find that 65 of them fall in this age range. Has the proportion of Americans ages 20-29 decreased from what it was in 2004? a) State the appropriate test for this problem (z-test or t-test). b) Why did you choose that test? c) State the null and alternate hypotheses for this test. Use 'p' for proportions and 'mu' for means. Ho: Ha: d) Calculate the test statistic (give to 3 decimal places)