SOLUTION: 22. A medical researcher says that at least 27% of adults are smokers. In a random sample of 200 adults, 22.5% say they are smokers. At α = 0.03, do you have enough evidence t

Algebra ->  Probability-and-statistics -> SOLUTION: 22. A medical researcher says that at least 27% of adults are smokers. In a random sample of 200 adults, 22.5% say they are smokers. At α = 0.03, do you have enough evidence t      Log On


   

Question 872510: 22. A medical researcher says that at least 27% of adults are smokers. In a random sample of 200 adults, 22.5% say they are smokers. At α = 0.03, do you have enough evidence to reject the researcher’s claim?
a. Write the claim mathematically and identify H0 and Ha.
b. Find the critical value(s) and identify the rejection region(s).
c. Find the standardized test statistic.
d. Decide whether to reject or fail to reject the null hypothesis.
Answer by ewatrrr(24785) About Me  (Show Source):
You can put this solution on YOUR website!


Hi

Ho: p >= 0.27

Ha: p < 0.27

z(.225) = -.045/ sqrt(.27*.73/200) = -.045/.0314 = -1.433

p-value = P(z < -1.433) =.0759

Fail to reject Ho (.0759 > .03)