Question

Teenage Tobacco Use: In a random sample of 1100 teenagers, 195 had used tobacco of some form in the last year. The managers of an anti-tobacco campaign want to claim that less than 20% of all teenagers use tobacco. Test their claim at the 0.05 significance level. (a) What is the sample proportion of teenagers who use tobacco? Round your answer to 3 decimal places. P = (b) What is the test statistic? Round your answer to 2 decimal places. (c) What is the P-value of the test statistic? Round your answer to 4 decimal places. P-value = (d) What is the conclusion regarding the null hypothesis? O reject Ho O fail to reject Ho (e) Choose the appropriate concluding statement. The data supports the claim that less than 20% of all teenagers use tobacco. There is not enough data to support the claim that less than 20% of all teenagers use tobacco We reject the claim that less than 20% of all teenagers use tobacco. We have proven that less than 20% of all teenagers use tobacco.

Answer 1

n=100 a=195 Claim P<0.20 250.05 level i 195 iloo = 0.1773 Sample Proportion =0177 b) Test Statistic PEP 0.177 241-0-2) lo -1.907 Z=-1.91 Prague PlZcZstar = 1/ 24-191) P-value 268281 dil P-valce ress than alpha (acs) Regect Ho e The data supports the claim that the less than 20% of all teenagers use tobacco.