According to the US Census Bureau, 7.1% of Americans living in 2004 were between the ages of 20 and 24. You take a random sample of 500 Americans and find that 28 of them are between 20 and 24 years old. Has the proportion of Americans aged 20-24 changed from the 2004 proportion?
a) State the null and alternative hypothesis.
Ho: p = _______ Ha: p ¹ ______
b) Calculate the test statistic
c) Determine the P-value
d) At a = 0.10, what is your conclusion? Explain in context of the problem.