Question: In 1999, the Center for Disease Control estimated that about 34.8% of high school students smoked cigarettes. They established a national health goal of reducing that figure to 16% by the year 2010. To that end, they hoped to achieve a reduction to 30% by the end of 2001. Early in 2002 they released a research study in which only 28.5% of a random sample of 10,204 high school students said they were current smokers. Is this evidence that progress toward the goal on track?

a) Write appropriate hypothesis.
b) Verify that the appropriate assumptions are satisfied.
c) Find the P-value of this test.
d) Explain what the P-value means in this context.
e) State an appropriate conclusion.
f) If you were planning a study in 2005 (halfway from 1999 to 2010), to see if progress toward the goal was still on track, what hypothesis would you use? How many teens would you have to interview to be sure your resulting percent was within 3% of the true rate?